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If sum of the first 14 terms of an ap is 1050 and its first term is 10, find the 20th term

Posted by Rajbir Kaur 6 years, 11 months ago

CBSE > Class 10 > Mathematics

1 answers

Yogita Ingle 6 years, 11 months ago

Here,

S₁₄ = 1050

n = 14,

a = 10

S_n = n/2 [2a + (n - 1)d]

1050 = 14/2 [20 + 13d]

1050 = 140 + 91d

910 = 91d

d = 10

Therefore,

a₂₀= 10 + (20 – 1) × 10 = 200

The 20th term is 200.

2Thank You

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