Three numbers are in A P , and the product of them is same as product of smallest and largest - Maths - Sequences and Series

Question

Three numbers are in A P , and the product of them is same as
product of smallest and largest What is the middle number?

Ankita Agarwal · Accepted Answer

Dear Student,

Let the first number be a and common difference be dThen, 2nd term = a+d3rd term = a+2dAccording to question, a×a+d×a+2d = a×a+2da+d = 1Therefore, middle term is 1

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Three numbers are in A.P., and the product of them is same as product of smallest and largest. What is the middle number?