A few days ago
tigerette

I need help with Algebra homework on a Sum of a Geometric Sequence.?

The problem is a Sum of a Geometric Sequence. Solve for r: S=rL-a divided by r-1. Please help in determining the answer. Even an example of a different problem will help. Thanks in advance.

Top 2 Answers
A few days ago
Anonymous

Favorite Answer

S = (rL – a) / (r – 1)

Multiplying by r – 1:

(r – 1)S = rL – a

Multiplying out the brackets:

rS – S = rL – a

Collect r terms on the left, and others on the right.

Subtract rL:

rS – rL – S = – a

Add S:

rS – rL = S – a

Factorise the LHS:

(S – L)r = S – a

Divide by S – L:

r = (S – a) / (S – L).

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4 years ago
borgert
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