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Find the 12th term of the geometric sequence 10, -20, 40,...
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Question Find the 12th term of the geometric sequence 10, -20, 40,... Watch-example-1
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User Grreeenn
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2 Answers

7 votes

Answer: The 12th term is -20480

Explanation:

answered
User Matt Fellows
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1 vote

Answer:

-20480

Explanation:

You want the 12th term of the geometric sequence 10, -20, 40, ....

N-th term

The n-th term of a geometric sequence is ...

an = a1(r^(n-1))

where a1 is the first term and r is the common ratio.

The given sequence has first term a1 = 10, and common ratio r = -20/10 = -2. So, the 12th term is ...

a12 = 10(-2)^(12 -1) = -20480

The 12th term of the sequence is -20480.

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Question Find the 12th term of the geometric sequence 10, -20, 40,... Watch-example-1
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User Razorphyn
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8.4k points

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