the fifth term of an ap is 20 and sum of its 17th and 11th term is 64 find the 16th term
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5th term is 20.
a+4d = 20.---- (1)
7th term + 11th term is 64
a+6d +a + 10d = 64.
2a + 16d = 64.
a+8d = 32.-----(2)
solving equations 1 and 2.
4d = 12.
d = 3
∴ a = 8.
∴ 16th term = a + 15d
= 8 + 15(3) = 8 + 45
= 53
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