Question

an ap has 5 terms their sum is 120 its fifth term is equal to 6 more than the sum of the first two terms find the terms of an ap​

Answer 1

Answer:

Step-by-step explanation:

Let the 5 terms are (a-2d) ,(a-d) ,a ,(a+d) and (a+2d) .

a-2d + a-d + a + a+d + a+2d = 120

5a = 120

a = 24

a+2d = 6 + a-2d + a-d

2d = 6 + a-3d

5d = 6 + a

5d = 6 + 24

5d = 30

d = 6

a - 2d = 24 - 2(6) = 24 - 12 = 12

a - d = 24 - 6 = 18

a = 24

a + d = 24 + 6 = 30

a + 2d = 24 + 2(6) = 24 + 12 = 36

Therefore ,the 5 terms are 12 ,18 ,24 ,30 and 36 .

Hope it helps.