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tensa zangetsu [6.8K]
3 years ago
11

What is the sum of the first ten terms in a geometric series with a1= 6 and r = 2?

Mathematics
1 answer:
kogti [31]3 years ago
6 0

Answer:

S_{10} = 682

Step-by-step explanation:

Given

a_1 = 6; r = 2

Required

S_{10

This is calculated as:

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

So, we have:

S_{10} = \frac{6 * (2^{10} - 1)}{10 - 1}

S_{10} = \frac{6 * (1024- 1)}{9}

S_{10} = \frac{6 * 1023}{9}

S_{10} = 682

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