Question

Find a, b and c such that the following numbers are in AP: a, 7, b, 23, c.

Answer 1

a,7,b,23,c
b in a,p
7+23/2=15=b
-1,7,15,23,31

Answer 2

Answer:

The value of a,b and c are -1, 15 and 31 respectively.

Step-by-step explanation:

The given AP is

a, 7, b, 23, c

If x,y,z are in AP then

$2y=x+z$

$2b=7+23$

$2b=30$

$b=15$

The value of b is 15.

The common difference is

$15-7=8$

The common difference is 8.

$a+8=7$

$a=7-8=-1$

The value of a is -1.

$c=23+8=31$

The value of c is 31.

Therefore the value of a,b and c are -1, 15 and 31 respectively.