Question

The sum of the first n terms of two A.P's are in the ratio (2n+3):(3n-1).
Find the ratio of 5th terms of these A.P's.
4) 25 : 29
3) 25 : 26
2) 21:28
1) 21 : 26
to 54​

Answer 1

AP - 1 : a , d

AP - 2 : a¹ , d¹

$\frac{Sn}{S¹n} = \frac{2n + 3}{3n - 1}\frac{\frac{n}{2}[2a + (n-1)d]}{\frac{n}{2}[2a^1 + (n-1)d^1]}= \frac{2n + 3}{3n - 1}$

Answer 2

Step-by-step explanation:

Ap -1 :a, d

Ap -2 a^1, d^1

Ratio is 2n+3/3n-1