Question

Find the 10th term of the geometric sequence 3, 15, 75, ...

Answer 1

5,859,375

Explanation:

a10 = 3×5^9 = 3×1,953,125

= 5,859,375

Answer 2

5,859,375

Explanation:

Given :-

• A geometric sequence is given to us which is 3 , 15 , 75 .

And we need to find out the 10th 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 = 15 ÷ 3 = 5

The 10 th term :-

`:\implies` T_n = arⁿ - ¹

`:\implies` T_10 = 3 × 5 ¹⁰ - ¹

`:\implies` T_10 = 3 × 5⁹

`:\implies` T_10 = 3 × 1953125

`:\implies` T_10 = 5859375

Hence the 10th term is 5,859,375