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Calculate the eighth term in the sequence 512, 256,128, ...

User Jodi
by
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1 Answer

2 votes

Answer:

4

Explanation:

You want the 8th term of the geometric sequence 512, 256, 128, ....

Explicit formula

The formula for the n-th term of a geometric sequence is ...

an = a1×r^(n-1)

where a1 is the first term (512), and r is the common ratio (1/2).

Then the 8th term is ...

a8 = 512(1/2)^(8-1) = 512/128 = 4

The eighth term of the sequence is 4.

User EricSch
by
8.2k points
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