Question

8. The fifth term of an A.P. is x and the ninth term is y. Find the common difference and the third term in terms of x and y.

How to do this?​

Answer 1

Answer:

I think 8 is your answer bro

Answer 2

Answer:

(common difference)d=(y-x)/4

third term =(3x-y)/2

Step-by-step explanation:

For fifth term: a+4d=x

For ninth term: a+8d=y

Then solve simultaneously to get a and d, which is a=2x-y and (common difference)d=(y-x)/4

now input a and d in the formula,

formula for arithmetic progression is Tn=a+(n-1)d

T3=2x-y+(3-1)(y-x)/4

therefore third term T3=(3x-y)/2