A person writes a letter to four of his frien | vedclass

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Question

(A) The number of letters mailed in each set forms a $G.P.$: $4, 4^2, 4^3, \ldots, 4^8$.First term $(a) = 4$.Common ratio $(r) = 4$.Number of terms $(

Vedclass · Accepted Answer

$Rs. 43690$

Vedclass · Answer

(A) The number of letters mailed in each set forms a $G.P.$: $4, 4^2, 4^3, \ldots, 4^8$.First term $(a) = 4$.Common ratio $(r) = 4$.Number of terms $(n) = 8$.The sum of $n$ terms of a $G.P.$ is given by $S_n = \frac{a(r^n - 1)}{r - 1}$.$S_8 = \frac{4(4^8 - 1)}{4 - 1} = \frac{4(65536 - 1)}{3} = \frac{4(65535)}{3} = 4(21845) = 87380$.The cost to mail one letter is $50$ paise,which is $Rs. 0.50$.Total cost $= 87380 	imes 0.50 = Rs. 43690$.

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