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What is n^th term of an A.P.?(a) an = a + (n-1) d(b) an = a + (n) d(c) an = a*r^n-1(d) an = a*r^nI had been asked this question by my college professor while I was bunking the class.My doubt is from Arithmetic Progression(A.P.) in division Sequences and Series of Mathematics – Class 11

Answer»

The correct choice is (a) an = a + (n-1) d

To explain I WOULD SAY: Since every term of an A.P. is incremented by common DIFFERENCE d.

i.e. an+1 = an + d = an-1 + 2d = ……. = A1 + n*d

or an = a + (n-1) d



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