Question

Four numbers are in a A.P, Their sum is 20,the product of first and fourth term is to the product of 2nd and the third term are in the ratio 2:3. Find the numbers​

Answer 1

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Let the four terms be a−3d,a−d,a+d,anda+3d with common difference 2d.

• sum=4a=20
• a=5
• (a−d)(a+d)
• (a−3d)(a+3d)
• =32
• 25−d 2
• 25−9d = 32
• d 2 =1⇒d=1

Largestterm=a+3d=5+3(1)=8.

Answer :8