The 7th term of an A.P. is 32 and its 13th term is 62.Find the A.P.
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Given:
7th term = 32
a + 6d = 32 -------(i)
13 term = 62
a + 12d = 62 -------(ii)
Subtract (i) from (ii), we get
a + 12d - a - 6d = 62 - 32
12d - 6d = 30
6d = 30
d = 5
Put value of d in eq(i)
a + 6d = 32
a + 6(5) = 32
a + 30 = 32
a = 32 - 30
a = 2
A.P = a, a + d, a + 2d, a + 3d ,....
2 , 2 + 5 , 2 + 10 , 2 + 15 , ...
A.P = 2 , 7, 12 , 17 , ...
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