Question

16] Divide 30 into five parts in A.P., such
that the first and last parts are in the
ratio 2:3:​

Answer 1

Answer:

4.8, 5.4, 6.0, 6.6, 7.2

Step-by-step explanation:

Let the parts be

a-2d

a-d

a

a+d

a+2d

it's an AP with 5 terms and common difference d... now sum = 30

therefore, (a-2d) +(a-d)+a+(a+d)+(a+2d)=30

5a=30. a=6

Now, as per question (a-2d)/(a+2d)=2:3

(6-2d)/(6+2d)=2/3

Solve the linear equation to get d= 0.6

and we have got a=6

therefore put this in the AP above

Answer- 4.8, 5.4, 6.0, 6.6, 7.2