Question

The terms of an AP are 4, a, b, -17 then find a-b ?​

Answer 1

Answer:

7

Step-by-step explanation:

a=first term of the AP,d=Common difference between the numbers of the AP

nth term=a+(n-1)d

=>4th term=4+(4-1)d

=>-17=4+3d

=>3d=-17-4

=>3d=-21

=>d=-21/3=-7

Therfore a=4+d=4+(-7)=4-7=-3

And b=a+d=-3+(-7)=-3-7=-10

Then a-b=-3-(-10)=-3+10=7 [Ans]