Question 3

What is the value of $$\frac{1}{0.2} + \frac{1}{0.02} + \frac{1}{0.002} +....$$ upto 9 terms?

Solution

we have
$$\frac{10}{2}+\frac{100}{2}+\frac{1000}{2}+......\ 9\ terms$$
= 5+50+500 +..... 9 terms
this is a geometric progression with first term =5 and common ratio =10
So we get sum = $$\frac{5}{9}\left(10^9-1\right)$$
We get sum as 555555555

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SSC CGL Tier-2 19-February-2018 Maths

What is the value of $$\frac{1}{0.2} + \frac{1}{0.02} + \frac{1}{0.002} +....$$ upto 9 terms?

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