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May 27, 2019 in Other

Q:

Arithmetic Progression: x, x + y, x + 2y, x + 3y are said to be in A.P. Here x is first term and common difference is y

a) nth term = x + (n – 1) y

b) Sum of n terms = n [2x + (n – 1)y]
2

3) 1 + 2 + 3 ± - - - - + n = n(n + 1)
2

4) (12 + 22 + 32 - - - - + n2) = n(n + 1) (2n + 1)
6

5) (13 + 23 + 33 - - - - + n3) = image n(n + 1) image 2
2
 

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