Question

Find a and b if a,7,b,23 are in A.P.​

Answer 1

Answer:

a=-1 and b=15

Step-by-step explanation:

Since they are in AP theredore the difference between b and 23 should be half of 7 difference between 7 amd 23 there the difference between b and 23 is 8 and 23 - 8 is 15. We got the common difference 8 so value of a=7-8 which is equal to -1

Hope this helps...... ☺️

Answer 2

If a,7,b,23 are in A.P. Then,

T2-T1 = T3-T2

7 - a= 23-b

b - a = 16 - - - (i)

T3 - T2 = T4 - T3

b - 7 = 23 - b

2b = 30

b = 15

In (i), b - a = 16

15 - a = 16

- a = 1

a = - 1