Question

(c) Find a, b, c such that the following
numbers are in A.P :a,7, b, 23, c.​

Answer 1

Answer:

-1, 7, 15, 23, 31.

Step-by-step explanation:

second term is 7, fourth term is 23.

4th term - 2nd term = 2*d

23 - 7 = 2*d

16 = 2*d and d = 8.

first term = 2nd term - d

a = 7-8 = -1.

b = 7+8 = 15

c = 23+8 = 31.

Answer 2

Answer:

a = -1 , b = 15 , c = 31

Step-by-step explanation:

Taking 7 and 23

a + 3d = 23 ---->1

a +  d  =    7 ----->2

-   -         -

-------------------

    2d = 16

      d = 8

Substituting value of d in eqn 2, we get the value of a = -1

For finding b, just add 8 to 7 so, b = 15

For finding c just add 8 to 23 so , c = 31