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$The sum of the infinite number of terms of the series 1 + \frac{4}{5} + \frac{7}{5^{2}} + \frac{10}{5^{3}} + \dots \dots . is k, then the the value of 16k is$

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Correct option is D

S∞=a1−r +dr(1−r)2Here a=1,d=3,r=15∴S∞=11−15+3×151−152=54+1516=3516=kgiven⇒16k=35

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The sum of the infinite number of terms of the series 1+45+752+1053+……. is k , then the the value of 16k is

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$The sum of the infinite number of terms of the series 1 + \frac{4}{5} + \frac{7}{5^{2}} + \frac{10}{5^{3}} + \dots \dots . is k, then the the value of 16k is$