3 years ago

Evaluate the geometric series. I need help please!!

Mathematics

1 answer:

aliya0001 [1]3 years ago

5 0

Answer:

4092

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 the n th term

with a = 4 and r = 2

The sum to n terms of an arithmetic series is

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

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

= 4(1024 - 1) = 4 × 1023 = 4092

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