Question

Find 5 numbers in A.P whose sum is 12 and the ratio of the first to the last terms is 2:3

Answer 1

Answer:

5/8, 25/10, 40/10 , 55/10, 70/10

Step-by-step explanation:

sum of an AP is given by n/2 (2a + ( n-1) d)

since sum of first 5 term is given

so,

5/2(2a+4d) = 25/2

= a +2d =5/2--------(1)

and a/d = 2/3-----------(2)

so, I it value of a form (2) in (1)

= 2d/3+2d=5/2

so,

d=15/16 and a= 2d/3= 5/8

there fore first five numbers are

5/8, 25/10, 40/10 , 55/10, 70/10

Hope it helps!

Answer 2

I should not under stand......