Q8 of 28 Page 9

Find the sum of the arithmetic progressions (x-y)2, (x2+y2), (x+y)2, … to n terms.

for the given AP the first term a is (x - y)2 and common difference d is a difference of the second term and first term, which is

To find: the sum of given AP


Formula: for the sum of AP is given by



Substituting the values in the above formula







More from this chapter

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5

Find the ninth term of the G.P. 1, 4, 16, 64, ….

 7

The Sum of the three terms of an A.P. is 21 and the product of the first, and the third terms exceed the second term by 6, find three terms.

 9

If a, b, c are in A.P., then show that:

(i) a2(b + c), b2(c + a), c2(a + b) are also in A.P.


(ii) b + c - a, c + a - b, a + b - c are in A.P.


(iii) bc – a2, ca – b2, ab – c2 are in A.P.

 10

Insert 4 A.M.s between 4 and 19.