Question

Which term of  G.P 0.004+0.02+0.1+••••••••••• is 12.5.​

Answer 1

Answer:

Here is the answer for your question.

Step-by-step explanation:

By using the formula,

Tn = ar^n-1

Given:

a = 0.004

r = $t_{2}$/$t_1$ = (0.02/0.004)

= 5

$T_{n}$ = 12.5

n = ?

So,  $T_{n}$ = ar^n-1

12.5 = (0.004) (5)^n-1

12.5/0.004 = 5^n-1

3000 = 5^n-1

5^5 = 5^n-1

5 = n-1

n = 5 + 1

= 6

∴ 6th term of the progression 0.004, 0.02, 0.1, …. is 12.5.