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Find the 14th term of the geometric sequence 5 -10 20

2 Answers

5 votes
Well since the person above me explained it already it’s that answer
User Ifschleife
by
8.1k points
4 votes

Answer:

a14 = -40,960

Explanation:

The sequence has a first term of 5 and a common ratio of -10/5 = -2, so the n-th term is given by ...

an = a1·r^(n-1)

an = 5·(-2)^(n-1)

The 14th term is then ...

a14 = 5·(-2)^(14-1) = -5·2^13 = -5·8192

a14 = -40,960

User Kimmo Hintikka
by
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