Question

Find the sum of GP is equal to 0.15 + 0.015 + 0.0015 to last term it 8

Answer 1

Answer:

Answer is 0.166666665

Step-by-step explanation:

GP series is given as :

0.15, 0.015, 0.0015, 0.00015 and so on........

Here in GP,

a = 0.15 and r = 0.015/0.15 =0.1

Sum of 8 terms is.

$s8 = a.(1 - r {}^{n} ) \div (1 - r)$

$s8 = 0.15(1 - 0.1 {}^{8} ) \: \div(1 - 0.1)$

S8 = 0.15 (1 - 0. 00000001) / (0.9)

S8 = (0.15 * 0.99999999) / (0.9)

S8 = 0.15 * 1.1111111

S8 = 0.166666665