Table of Contents

Skip to content
#
Arithmetic Progression (A.P.)

## Sequence, Finite sequence, Infinite sequence, Series, Progression and Arithmetic Progression

## Obtain the required term from the given sequence of A.P.

### (1) -6,-4,-2,…. Find 12th term (2) 1,5,9,… Find 20th term (3) 4, 7/2, 3, 5/2 … 25th term

## How to find nth term of an A.P. ( Tn = a + (n-1)d )

## If third term of an A.P. is 12 and sixth term is 42, find twenty sixth term.

## (1) Eighth term of an A.P. is 5 and thirteenth term is 25, Find fiftieth term. (2) If nineteenth term of an A.P. is 100 and twenty-ninths term is 60, find seventieth term.

## If p^{th} term of an A.P. is q and q^{th} term of an A.P. is p, then show that (p+q)^{th} term is zero.

## (1) Determine z so that z+2, 4z-6 and 3z-2 are the three consecutive terms of an A.P. (2) If a,b,c are in A.P. then prove that the following terms are also in A.P. (i) 1/bc, 1/ac, 1/ab (ii) b+c, c+a, a+b

## If a,b,c are in A.P. then prove that (ab+ca)/bc, (bc+ab)/ca, (ca+bc)/ab are also in A.P.

## If a, b, c are in A.P. then prove that (b+c)^{2}-a^{2}, (c+a)^{2}-b^{2}, (a+b)^{2}-c^{2}.

## If a^{2}, b^{2}, c^{2} are in A.P. then prove that the followings terms are also in A.P. (i) a/bc, b/ac, c/ab (ii) 1/(b+c), 1/(a+c), 1/(a+b)

## If a/(b+c), b/(c+a), c/(a+b) in A.P., prove that a^{2}, b^{2}, c^{2} are also in A.P.

Scroll to top
Table of Contents