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In an A.P., the product of the first term and the second term is 120 and the product of the second term and the third term is 168. Find the tenth term of the A.P. when common difference d > 0.

Solution

Correct Option: 3

Let the three terms be aa, a+da+d, a+2da+2d. Given a(a+d)=120a(a+d)=120 and (a+d)(a+2d)=168(a+d)(a+2d)=168. Testing a=10,d=2a=10, d=2: 10×12=12010\times 12=120 and 12×14=16812\times 14=168. Both hold and d>0d>0. Then a10=a+9d=10+18=28a_{10}=a+9d=10+18=28.

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