Consider the sequence 1,7,8,49,50,56,57,343, which consists of sums of distinct powers of 7 , that is, 7^0, 7^1, 7^0+7^1, 7^2, , in increasing order. At what position will 16856 occur in this sequence?

Correct answer: 36 i.e. we get 16856 at 36^ th position

Olympiad workbook

Exam: Olympiad workbook
Subject: IOQM
Chapter: Binary Numbers

Olympiad workbook · IOQM · Binary Numbers

Consider the sequence 1,7,8,49,50,56,57,343, which consists of sums...

Consider the sequence

1,7,8,49,50,56,57,343, \ldots

which consists of sums of distinct powers of 7 , that is,

7^0, 7^1, 7^0+7^1, 7^2, \ldots

, in increasing order. At what position will 16856 occur in this sequence? Consider the sequence 1,7,8,49,50,56,57,343, which consists of sums of distinct powers of 7 , that is, 7^0, 7^1,

Consider the sequence 1,7,8,49,50,56,57,343, which consists of sums of distinct powers of 7 , that is, 7^0, 7^1,

Correct answer

Step-by-step solution

i.e. we get 16856 at

36^{\text {th }}

position

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