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Sum of n terms of an A.P.

## Equation : Sum of n terms | Sn = n/2 [ 2a + (n-1) d ]

## Obtain the sum of the n terms of following series : 72+70+68+66+…

## Obtain the sum of the following sequence :

### (1) 2, 4, 6, 8, 10, … up to 12 terms (2) -8, -6, -4, -2, … up to 50 terms (3) 1, 5, 9, 13, 17, … up to 30 terms (4) 4, 8, 12, 16, 20, … up to 25 terms

## For the series 10 + 9(1/2) + 9 +…+1/2, find number of terms – n and T_{17}.

## The sum of 6 terms of an A.P. is 57, and the sum of its 10 terms is 155. Find 20^{th} term.

## How many terms of the series 93+90+87+… amount to 975? Find the last term.

## Obtain the sum of first n natural numbers and hence find the sum of first 50 numbers.

## The Sum of n terms of an A.P. is 3n^{2} + n. Determine the n^{th} term and also find 10^{th} term of an A.P.

## Find the last term and sum of the series.

### (a+b) / (a+b) , (a+3b) / (a+b) , (a+5b) / (a+b) + … up to 15 terms

## How to assume unknown terms of an A.P.

## The sum of three consecutive terms in A.P. is 18 and their product is 192. Find the three terms.

## The sum of four numbers in an A.P. is 24 and their product is 945. Find the four numbers.

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