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

If sum of the first 14 terms of an ap is 1050 and its first term is 10

1.	If sum of the first 14 terms of an ap is 1050 and its first term is 10, find the 20th term
Answer» Here,S14 = 1050n = 14,a = 10Sn = n/2 [2a + (n - 1)d]1050 = 14/2 [20 + 13d]1050 = 140 + 91d910 = 91dd = 10Therefore,a20 = 10 + (20 – 1) × 10 = 200The 20th term is 200.