Question

find 7th term .. 216,36,6..

Answer 1

Answer: 1/216

Step-by-step explanation:

The ratio is 1/6 so the 7th term is 216 * (1/6) ^ (7 - 1) = 1/216

Answer 2

The given geometric sequence 216,36,6.. So, the 7th term of the given sequence would be 1/216.

What is a geometric sequence and how to find its nth terms?

Suppose the initial term of a geometric sequence is a

and the term by which we multiply the previous term to get the next term is r

Then the sequence would look like

$a, ar, ar^2, ar^3, \cdots$

Thus, the nth term of such sequence would be  $T_n = ar^{n-1}$

The given geometric sequence

216,36,6..

r = 1/6

a = 216

we need to find the 7th term

$T_n = ar^{n-1}\\\\T_7 = 216 \times1/6^{7-1}\\\\T_7 = 216 \times1/6^{6}\\\\T_7 = 216 \times1/ 46656\\\\T_7 =1/ 216$

Learn more about geometric sequence here:

https://brainly.com/question/2735005

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