Question

Find a,b and c such that the following no. Are in A.Ps a,7,b,23,c

Answer 1

Answer:

a = -1, b = 15, c = 3

Step-by-step explanation:

since a, 7, b, 23 and c are in AR

∴ 7 - a = b - 7 = 23 - b = c - 23 = common difference

                  I   II      III      IV

Taking second and third terms, we get

b - 7 = 23 - b

⇒ 2b = 30

∴ b = 15

Taking first and second terms, we get

7 - a = b - 7

⇒ 7 - a = 15 - 7

⇒ 7 - a = 8

∴ a = -1

Taking third and fourth terms, we get

23 - b = c - 23  

⇒ 23 - 15 = c - 23

⇒ 8 = c - 23

⇒ 8 + 23 = c ⇒ c = 31

Hence, a = -1, b = 15, c = 3