<>/XObject<>/ProcSet[/PDF/Text/ImageB/ImageC/ImageI] >>/MediaBox[ 0 0 612 792] /Contents 4 0 R/Group<>/Tabs/S/StructParents 0>> The second resource is an arithmetic and geometric sequence and series game. %���� Reported resources will be reviewed by our team. First let us find the interest using simple interest formula. in the second carriage and 175 passengers Find the sum of terms in both the sequences. An auditorium has 20 seats on the first row, 24 seats on the second row, 28 seats on the third row, and so on and has 30 rows of seats. Are you getting the free resources, updates, and special offers we send out every week in our teacher newsletter? Students will have compare different types of salary raises as well as different ways of investing money to see which offers the biggest payout. This worksheet is great for applying what students have learned about geometric and arithmetic sequences and series to money and finances. Substitute a  =  97, d  =  -4 and n  =  25. A gardener plans to construct a trapezoidal shaped structure in his garden. As of this date, Scribd will manage your SlideShare account and any content you may have on SlideShare, and Scribd's General Terms of Use and Privacy Policy will apply. Clipping is a handy way to collect important slides you want to go back to later. Sn To find a30 we need the formula for the sequence and then substitute n = 30. If that 5% raise continues every year, find the amount of money you would earn in a 40-year career. So, the interest amounts from the first year are. Suppose you go to work for a company that pays one penny on the first day, 2 cents on the second day, 4 cents on the third day and so on. Publication date 1954 Topics NATURAL SCIENCES, Mathematics, Fundamental and general consideration of mathematics Publisher Blackie And Son Limited. If an eruption lasts for 2 minutes then the How many seats are in the theatre? )��_�V�[�Q�M��jx4fl��u;vVUVǰ]g��Y���P�F����gE)�ZU�2����Q���7g�߿b yrsQ���ns~Y�i�_�ƸF�(B�`^�h�ת�*}ᗣ�!��Ɔ�x�(*)b�5���>��~s���������ۑo�Q�ۜ����n�� ^А�j�]}�`�����៶�nv��]���ߘ���U}a;Wu��Q 1>|���?g��"�{x=�������ջFk;Dn�n����>@�X��=�����@�ޗ� ~��f�ڤ|���Bėl��r�A���� �z]ja���Uk;P�E�='W��{��O��B����Sx���]����k�f���YK�zX�'�: p� The company can pay 165000 as penalty for this delay at maximum. Worksheets, Homework. This sequence is an arithmetic progression. Scribd will begin operating the SlideShare business on December 1, 2020 You can change your ad preferences anytime. 1. Calculate the interest at the end of each year. Teachers Pay Teachers is an online marketplace where teachers buy and sell original educational materials. If you continue browsing the site, you agree to the use of cookies on this website. From 1990 through 1997, the average monthly bill decreased by about 8.6% per year. To find the total interest for 30 years, we have to find the sum of 30 terms in the above arithmetic progression. application of Fibonacci numbers. The clock strikes once at 1'o clock, twice at 2'o clock and so on. The longer side of trapezoid needs to start with a row of 97 bricks. A construction company will be penalized each day of delay in construction for bridge. REAL-LIFE APPLICATION OF ARITHMETIC AND GEOMETRIC SEQUENCE The time between eruptions is based on the length of the previous eruption : If an eruption lasts one minute, then the next eruption will occur in approximately 46 minutes. Format. Here 'n' represents number of days delayed. Find the maximum number of days by which the completion of work can be delayed, Let us write the penalty amount paid by the construction company from the first day as sequence. We can use the formula to find the sum of 'n' terms of an arithmetic series. endobj Then, interest earned at the end of the first year is. If a clock strikes once at 1'o clock,twice at 2'o clock and so on. Let us consider an cinema theatre having 30 seats on the first row, 32 seats on the second row, 34 seats on the third row, and so on and has totally 40 rows of seats. Explain w hat the common How many times will it strike a day? Nov. 21, 2020. Add one to cart. So, the total interest earned at the and of 30 years is \$37200. Therefore the clock will strike 156 times in a day. In order to work with these application problems you need to make sure you have a basic understanding of. �c�ʞ\$��9C�"���w�Jp4�W1e�RL� gU)sHJ#>v"�������Ǭӏ?���`H�����ݔV{��N������I���z��E��XO !y����JKk�~/�k��U鮏�=G�KR����Ӡ~����e8���>�¢]�p�]��2��Tv4>��>����>�}�������{��q�;� ��(�"r <> the first carriage, 150 passengers REAL-LIFE APPLICATION OF ARITHMETIC AND GEOMETRIC SEQUENCE The time between eruptions is based on the length of the previous eruption : If an eruption lasts one minute, then the next eruption will occur in approximately 46 minutes. The formula for an arithmetic sequence is We already know that is a1 = 20, n = 30, and the common difference, d, is 4. x��ko����~>���08�c���4v>��Yj�dY���ٝ�;���QF>�Aϧ����y��~TE_��8����*j��*[9�Q�L�����ჺ8���ټ*��I��fs[�vs�ow�����Rk����rk��si7��y^�f��� �`��ݕ�ٜ������+�6W�C����P�=���!�'��.�yXU�Ds��{q����{y�Lt.m۪�d��qmZ�}�;#O�T�b�l� k�. REAL LIFE PROBLEMS INVOLVING ARITHMETIC SERIES. A Sequence is Cauchy’s iff ) Real-Life Application: If we consider a Simple Pendulum, in order to count the Oscillations, when it moves To and Fro, these Sequences are used. 1, 2, 3, ..............................12. Because the sequences are arithmetic progressions, we can use the formula to find sum of 'n' terms of an arithmetic series. }Rn��|��T��C�����H0��no�.��Ȉvd��i7���R���r۶���Y9��/��8��J鄘\$ľ�L��]i0�&�a}4�����# ~�B�k�|��;C�{�w��m�t9�x� ! The longer side of trapezoid needs to start with a row of 97 bricks. Resource Type. The above sequence is an arithmetic progression. <>>> Substitute n  =  12, a  =  1 and l  =  12. When the general term is found, then one can find any term in the sequence without writing all the preceding terms. endobj See our User Agreement and Privacy Policy. Slideshare uses cookies to improve functionality and performance, and to provide you with relevant advertising. In the first year, amount deposited is \$1000. If the daily wage keeps doubling, what will you total income be for working 31 days. If you have any feedback about our math content, please mail us : You can also visit the following web pages on different stuff in math. endobj See our Privacy Policy and User Agreement for details. 3 0 obj How many times does the clock chime in a day? Usually, food, cloth and … Now customize the name of a clipboard to store your clips. Looks like you’ve clipped this slide to already. Page 1 of 2 11.3 Geometric Sequences and Series 669 GEOMETRIC SEQUENCES AND SERIES IN REAL LIFE Writing a Geometric Sequence CELLULAR TELEPHONES In … Previous Next. Each hour, a grandfather clock chimes the number of times that corresponds to the time of day. 10 th, 11 th, 12 th. II. Blog. in the third carriage, A company is offering a job with a salary of \$30,000 for the first year and a 5% raise each year after that. To solve problems involving sequences, it is a good strategy to list the first few terms, and look for a pattern that aids in obtaining the general term. The penalty will be \$4000 for the first day and will increase by \$10000 for each following day. In order to work with these application problems you need to make sure you have a basic understanding of arithmetic sequences , arithmetic series , geometric sequences , and geometric series . The penalty will be \$4000 for the first day and will increase by \$10000 for each following day. SITUATION: Similar Values and Traditions of Filipino and Chinese, Philipine and World History of Literature, Introduction to Architecture, Design and Allied Arts, Pamantayan sa Bawat Baitang - Grade 7, 8, 9 & 10, Mga Teorya - Edukasyon sa Pagpapakatao (EsP), Mga Dulog sa Pagtuturo - Edukasyon sa Pagpapakatao (EsP), No public clipboards found for this slide. Sequences and series, whether they be arithmetic or geometric, have may applications to situations you may not think of as being related to sequences or series. Solving linear equations using elimination method, Solving linear equations using substitution method, Solving linear equations using cross multiplication method, Solving quadratic equations by quadratic formula, Solving quadratic equations by completing square, Nature of the roots of a quadratic equations, Sum and product of the roots of a quadratic equations, Complementary and supplementary worksheet, Complementary and supplementary word problems worksheet, Sum of the angles in a triangle is 180 degree worksheet, Special line segments in triangles worksheet, Proving trigonometric identities worksheet, Quadratic equations word problems worksheet, Distributive property of multiplication worksheet - I, Distributive property of multiplication worksheet - II, Writing and evaluating expressions worksheet, Nature of the roots of a quadratic equation worksheets, Determine if the relationship is proportional worksheet, Trigonometric ratios of some specific angles, Trigonometric ratios of some negative angles, Trigonometric ratios of 90 degree minus theta, Trigonometric ratios of 90 degree plus theta, Trigonometric ratios of 180 degree plus theta, Trigonometric ratios of 180 degree minus theta, Trigonometric ratios of 270 degree minus theta, Trigonometric ratios of 270 degree plus theta, Trigonometric ratios of angles greater than or equal to 360 degree, Trigonometric ratios of complementary angles, Trigonometric ratios of supplementary angles, Domain and range of trigonometric functions, Domain and range of inverse  trigonometric functions, Sum of the angle in a triangle is 180 degree, Different forms equations of straight lines, Word problems on direct variation and inverse variation, Complementary and supplementary angles word problems, Word problems on sum of the angles of a triangle is 180 degree, Domain and range of rational functions with holes, Converting repeating decimals in to fractions, Decimal representation of rational numbers, L.C.M method to solve time and work problems, Translating the word problems in to algebraic expressions, Remainder when 2 power 256 is divided by 17, Remainder when 17 power 23 is divided by 16, Sum of all three digit numbers divisible by 6, Sum of all three digit numbers divisible by 7, Sum of all three digit numbers divisible by 8, Sum of all three digit numbers formed using 1, 3, 4, Sum of all three four digit numbers formed with non zero digits, Sum of all three four digit numbers formed using 0, 1, 2, 3, Sum of all three four digit numbers formed using 1, 2, 5, 6, How to Prove the Given Vertices form a Rhombus, Verify the Given Points are Vertices of Parallelogram Worksheet, A gardener plans to construct a trapezoidal shaped structure in his garden.

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