Question

find five numbers in an A.P whose sum is 25/2 and the ratio of first to last is 2;3

Answer 1

Answer:

first term is 2,second 9/4,third 5/2,fourth 11/4, and fifth 3

Step-by-step explanation:

ratio between 1st and last is 2;3

a/last term=2/3

a=2L/3  (1)

sum of first five terms 25/2

using the FORMULA

Sum of five terms = n/2(a+L)

25/2 = 5/2(2L/3+L)    (USING 1)

3=L put in 1

a= 2

2nd term a+d =9/4

3rd term a+2d =5/2

4th term a+3d = 11/2

5th term a+4d = 3