Applied Calculus x IP Take a Test Christian Brox a E C ps://i /Student Player Te

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Applied Calculus x IP Take a Test Christian Brox a E C ps://i /Student Player Test aspx? 892436198 from PlayerCheck yes wwwwww.mathxl.com This Question: 6 pts This Test: 100 pts 00:52:34 10 of 15 complete Time Remaining: Test the given geometric series for convergence or divergence. If the series is convergent, find the s 21 2 12 72 432 VI Is this a converging geometric series? If it converges, what is its sum? Choose the correct answer below and, if necessary, fill in the answer box to complete your choice A. The series converges to L Type an integer or a fraction.) OB. The series diverges Click to select and enter your answer(s) Previous Question Next Question I Submit Test 11:13 PM 2/15/2015

Explanation / Answer

21 + 7/2 + 7/12 + .....

Clearly terms are decreasing

Common ratio = 7/2 divided by 21

7/2 * 1/21

1/2 * 1/3

1/6

Since common ratio , r is such that |r| < 1.......

This is a converging Geometric sequence....

Sum = (first term) / (1 - ratio)

S = 21 / (1 - 1/6)

S = 21 / (5/6)

S = 21 * 6/5

S = 126/5 ---> ANSWER

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