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liq [111]
3 years ago
5

The sum of the first 6 terms of a geometric series is

Mathematics
1 answer:
jekas [21]3 years ago
7 0

Answer:

4

Step-by-step explanation:

The sum to n terms of a geometric sequence is

S_{n} = \frac{a(r^n-1)}{r-1}

where a is the first term and r the common ratio

Here r = 5 and a has to be found, thus

S_{6} = \frac{a(5^6-1)}{5-1}, so

\frac{a(15625-1)}{4} = 15624

Multiply both sides by 4

15624a = 62496 ( divide both sides by 15624

a = 4

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