Seemingly easy!!

Algebra Level 3

Let a , b , c a,b,c be positive integers such that b a \frac{b}{a} is an integer. If a , b , c a,b,c are in geometric progression and the arithmetic mean of a , b , c a,b,c is b + 2 , b+2, find the value of

a 2 + a 14 a + 1 . \dfrac{a^2+a-14}{a+1}.


The answer is 4.

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2 solutions

Here is my solusion

Shivam Hinduja
Dec 19, 2014

The question is wrong , there is a typo in the question. There should have been

a^{2} + a -14 (which is the real IIT JEE question)

Thanks, I have updated the question.

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Calvin Lin Staff - 6 years, 5 months ago

I reported it .

Shubhendra Singh - 6 years, 5 months ago

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