Question

The first term of a geometric sequence is −8100 . The common ratio of the sequence is −0.1 .

Answer 1

6th term of the sequence is 0.081

Step-by-step explanation:

First term of geometric sequence = -8100

Common Ratio = -0.1

We need to find the 6th term of the sequence.

The formula used is:

$a_n=ar^{n-1}$

where aₙ = nth term

a= first term

r = common ratio

Putting values n=6 as we have to find 6th term

$a_n=ar^{n-1}$

$a_6=-8100(-0.1)^{6-1}\\a_6=-8100(-0.1)^5\\a_6=-8100(-0.00001)\\a_6=0.081$

So, 6th term of the sequence is 0.081

Keywords: Geometric Sequence

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