An Arithmetic Progression of positive integers has its n^th term as 66541⁸⁷⁶⁸. Find the first term of this Arithmetic Progression if the common difference = 9.

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Solution

The correct option is D 7
option (e)
From constant remainder theorem, if any of the terms in an AP is divided by the common difference, the remainder will be constant in each case.
Let us find the remainder when the n^th term of the AP is divided by 9
66541⁸⁷⁶⁸/ 9rem = 4⁸⁷⁶⁸/9rem
Euler’s number of 9 = 6.
8768 = 6k + 2
The number changes to 4²/9 = 16/9 (Rem) = 7.
answer is option (e)

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