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The 16th term of an ap …

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The 16th term of an ap is 5 times its third term. if its 10th term is 41 then find the sum of its first 15 terms

Posted by Sneha Singh 6 years, 10 months ago

CBSE > Class 10 > Mathematics

4 answers

Khushboo Giri 6 years, 10 months ago

a16=5(a3) a+15d=5(a+2d) a+15d=5a+10d 5a-a=15d-10d 4a=5d a=5d/4.----------(1) a10=41 a+9d=41 5d/4+9d=41 5d+36d/4=41 41d/4=41 41d=41×4 d=4 putting the value inin equation 1 a=5×4/4 a=5 Now, S15=15/2{2×5+(15-1)4} =15(5+56) =915

2Thank You

Sneha Singh 6 years, 10 months ago

Sorry ' it's'

2Thank You

Sneha Singh 6 years, 10 months ago

Can u please give me it full solution

1Thank You

Sonu Kumar 6 years, 10 months ago

The sum is 495

2Thank You

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CBSE > Class 10 > Mathematics