Two A.P.s have the same common difference. First term of one of these is 17 and its 77th term is
169. If first term of the other A.P., is 70, find its 77th term.
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in first AP
a=17,a77=169
a+76d=169
17+76d=169
76d=169-17
76d=152
d=2
the common difference of both AP's is 2
in second AP, a =79
a77=a+76d
=70+76×2
=70+152
=222
77th term of given APis 222
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