Question
An Arithmetic Progression of positive integers has its nth term as 665418768. Find the first term of this Arithmetic Progression if the common difference = 9.
Answer: Option E
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E
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E
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 nth 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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