Check whether -112 is one of the terms of the given arithmetic progression 980,941,902 ……. If so find
which term is it and find the tenth term from it?
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a= 980 d= -39 nth term = -112
nth term = a+(n-1)d
-112 = 980+ (n-1) × (-39)
-112-980 = (n-1) × (-39)
-1092/-39 = (n-1)
28 + 1 = n
29 = n
-112 is 29th term of ths AP
tenth term = a+9d
= 980 + 9×(-39)
= 980 - 351
= 629
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