Question

Fill in the blanks.

(i) If the ratio of sum of n terms of two A.P. is (7n + 1): (4n + 27), then ratio of their m^th terms is P .

(ii) Sum of n odd natural numbers is Q.

(iii) If sum of n terms of three A.P. are S₁, S₂, S₃. The first term of each is 1 and common differance are 1, 2 and 3 respectively, then (S₁ + S₃)/S₂ = R.

	P	Q	R
(A)	(14m - 6)/(8m + 23)	n2	2
(B)	(13m + 6)/(7m + 9)	n2	5
(C)	(14m + 6)/(8m + 23)	2n + 1	1
(D)	(7m + 1)/(4m + 27)	2n - 1	3

Answer 1

The correct option is: (A)

Explanation:

(i) Let S_n be the sum of n terms of 1^st A.P. and S'_n be sum of n terms of 2^nd A.P.

(ii) A.P. of odd n natural numbers is

1,3,5,............