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oksano4ka [1.4K]
3 years ago
10

1/2,-4,32,-256 find an explicit formula for the sequence

Mathematics
2 answers:
Anna11 [10]3 years ago
4 0

Answer:

.5(−8)^n−1

Step-by-step explanation:

Veseljchak [2.6K]3 years ago
3 0
This is a geometric sequence where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.

an = a1 * r^n-1
where
an = nth term
a1 = 1st term
r = common ratio

In this problem, a1 = 1/2.

Find the common ratio by dividing -4 by 1/2 to get r = -8.

The explicit formula is an = (1/2)*(-4)^n-1



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