Question

Find the oth term of the geometric sequence 9, -18, 36, ...

Answer 1

2304

Explanation:

Given :-

• A geometric sequence is given to us which is 9 , -18 , 36.

And we need to find out the 9th term of the sequence. Here firstly we should find the Common Ratio and then we can substitute the respective values in the formula to find the nth term of a geometric sequence .

Common Ratio :-

`:\implies` CR = -18÷ 9 = -2

The 9 th term :-

`:\implies` T_n = arⁿ - ¹

`:\implies` T_9 = 9× (-2) ⁹ - ¹

`:\implies` T_9 = 9 × (-2)⁸

`:\implies` T_9 = 9 × 256

`:\implies` T_9 = 2304

Hence the 10th term is 2304.