Question

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

Answer 1

hope this helps u

By using the formula,

Tn = arⁿ-1

Given:

a = 0.004

r = t2/t1 = (0.02/0.004)

= 5

Tn = 12.5

n = ?

So, Tn = 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.

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