Consider the set of numbers {1, 3, $$3^{2}$$, $$3^{3}$$,…...,$$3^{100}$$}. The ratio of the last number and th

Question

Consider the set of numbers {1, 3, $$3^{2}$$, $$3^{3}$$,…...,$$3^{100}$$}. The ratio of the last number and the sum of the remaining numbers is closest to:

Accepted Answer

2. Set : { 1 , 3 , 3 2 , 3 3 , … . . . , 3 100 1, 3, 3^{2}, 3^{3},…...,3^{100} 1 , 3 , 3 2 , 3 3 , … ... , 3 100 } Clearly, this set is a G.P. with common ratio, r = 3 r = 3 r = 3 Sum of G.P. = a ( r n − 1 ) r − 1 \frac{a (r^n - 1)}{r - 1} r − 1 a ( r n − 1 ) ​ Number of terms = 101 Last term = 3 100 3

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Consider the set of numbers {1, 3, 323^{2}32, 333^{3}33,…...,31003^{100}3100}. The ratio of the last number and the sum of the remaining numbers is closest to:

Consider the set of numbers {1, 3, 323^{2}32, 333^{3}33,…...,31003^{100}3100}. The ratio of the last number and the sum of the remaining numbers is closest to:

Consider the set of numbers {1, 3, $3^{2}$ , $3^{3}$ ,…..., $3^{100}$ }. The ratio of the last number and the sum of the remaining numbers is closest to:

Consider the set of numbers {1, 3, $3^{2}$ , $3^{3}$ ,…..., $3^{100}$ }. The ratio of the last number and the sum of the remaining numbers is closest to: