In an A.P., the first term is 22, nth term is -11 and the sum to first n term is 66. Find n and d, the common difference.

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Solution

Sn=n/2[a+l]
a=22
l=-11
66=n/2[22-11]
132=n[11]
n=12
now
l=a+(n-1)d
-11=22+11d
11d=-33
d=-3

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