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evaluate each infinite geometric series described a1=3, r=-4

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i really need help on this question.

 

asked Mar 3, 2014 in ALGEBRA 2 by abstain12 Apprentice

1 Answer

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The formula for the sum of an INFINITE geometric series  S = a₁/(1 - r ).

Where a is the first term , r is the common ratio.

| r | < 1, the series converges, and the series has a sum.

| r | ≥ 1 , the series diverges and the series does not have sum.

There is no formula for an INFINITE geometric series that diverges.

First term (a₁)  = 3

Common ratio ( r ) = - 4

| r | = | - 4 | = 4 > 1

Since 4 > 1 , the series diverges and the series does not have sum. 

answered Apr 11, 2014 by friend Mentor

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