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What is the value of $$\frac{1}{{0.2}} + \frac{1}{{0.02}} + \frac{1}{{0.002}} + \,.....$$ upto 9 terms?
Answer & Solution
Correct Answer:
Option
C
$$\eqalign{
& \frac{1}{{0.2}} + \frac{1}{{0.02}} + \frac{1}{{0.002}} + \,.....\,{9^{{\text{th}}}}{\text{ term}} \cr
& {\text{ = }}\frac{1}{2}\left[ {10 + 100 + 1000 + \,.....\,{9^{{\text{th}}}}{\text{ term}}} \right] \cr
& = \frac{1}{2}\left[ {1111111110} \right] \cr
& = 555555555 \cr} $$
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