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Dmitry [639]
2 years ago
12

What is ∑n=16[4(−5)n−1] equal to? Enter your answer in the box.

Mathematics
1 answer:
Cerrena [4.2K]2 years ago
4 0

Step-by-step explanation:

Geometric Sequence formula for general term:

an = a1(r^n-1)

a1 = 4 × (-5)^1-1

a1 = 4

r = -5

Summation formula for geometric sequence :

Sn = a1 ( 1 - r^n / 1 - r )

...<em>take n from the top of the summation.</em>

= 4 ( 1 -(-5)^6 / 1 -(-5)

= -10416.

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