CAT 2017 Progression Question (Hard)

Question

If the square of the term of an arithmetic progression with positive common difference equals the product of the and terms, then the ratio of the first term to the common difference is

Accepted Answer

Step 1 Let the first term be , and the common difference be . Then th term rd term th term Given Square of 7th term product of 3rd and 17th terms So Step 2 Expand both sides LHS RHS Step 3 Equating both sides Subtract from both sides Bring all terms to one side Divide both sides by since Wait! Reche

CAT 2017

Quantitative

Progression

Hard

If the square of the $7^{\text{th}}$ term of an arithmetic progression with positive common difference equals the product of the $3^{\text{rd}}$ and $17^{\text{th}}$ terms, then the ratio of the first term to the common difference is:

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