Question

Q5.

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

7, b, 23 and c.​

Answer 1

Answer:

according to AP common difference are equal

t2-t1=t3-t2; t1....= first terms respectively

7-a=b-7;

-a-b=-7-7:

; a+b=14

b-7=23-b

; b+b=23+7;

2b=30;

b=30/2;

b= 15

substitute b value in first equation we get

a+b=14

a+15=14

a=14_15

a=-1

c-23=23-b

c+b=23+23

c+b=46

substitute b in above we get

c+b=46

c+15=46

c=46-15

c=31