Question

check wheather 501 is an A.P. 12,15,18,21,.... what will be its term, if it is in A.P.?

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Answer 1

a=12, d=3

for 501 to be a part of the AP

501=a + (n-1)d

501=12 + (n-1)3

501-12 = (n-1)3

489=3(n-1)

(n-1)=163

n=164

thus,

501 is 164 th term of the given AP