Q.) Find the middle term of an A.P.: 1,8,15,..............505.
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last term = 505
a = 1
d= 8-1 = 7
an = a + (n-1)d
505 = 1 + (n-1) 7
7n = 511
n = 73
mid term = 73/2
= 36.5
therefore 37th term is the mid term
a37 = a+36d
1 + 36× 7
= 253
a = 1
d= 8-1 = 7
an = a + (n-1)d
505 = 1 + (n-1) 7
7n = 511
n = 73
mid term = 73/2
= 36.5
therefore 37th term is the mid term
a37 = a+36d
1 + 36× 7
= 253
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