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nth Term of an AP

The 5th term ...

Question

The 5th term of an AP is 20 and the sum of its 7th and 11th terms is 64. the common difference of the AP is
(a) 4 (b) 5 (c) 3 (d) 2

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Solution

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..

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