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Grace [21]
3 years ago
5

Evaluate the geometric series. Please help me out!!!

Mathematics
1 answer:
vredina [299]3 years ago
6 0

Answer:

- 1364

Step-by-step explanation:

The n th term of a geometric series is

a_{n} = a(r)^{n-1}

where a is the first term and r the common ratio

4(-2)^{n-1} ← is an n th term

with a = 4 and r = - 2

The sum to n terms of a geometric series is

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

S_{10} = \frac{4((-2)^{10}-1) }{-2-1}

      = \frac{4(1024-1)}{-2-1}

      = \frac{4(1023)}{-3}

      = \frac{4092}{-3}

      = - 1364

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