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If the sum of first 14 terms of an A•P is 1050 and its first term is 10 find the 20 term

Posted by Chandan Kumar 5 years, 11 months ago

CBSE > Class 10 > Mathematics

1 answers

Yogita Ingle 5 years, 11 months ago

A=10...given

S₁₄=1050
⇒ n/2[2a+(n-1)d]=1050
⇒ 14/2[20+13d]=1050
⇒ 7[20+13d]=1050
⇒ 20+13d=1050/7
⇒ 20+13d=150
⇒ 13d=150-20
⇒ 13d=130
⇒ d=10

20th term = a+19d
                 = 10 + 19×10
                 = 10 + 190
                 = 200

2Thank You

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