Question

Fifth term of an arithmetic sequence is 21 and its ninth term is 37.

a) What is its common difference? please explanatian mee too please fast​

Answer 1

Answer:

d=4

Step-by-step explanation:

Term5=21

a +4d =21

T9=37

a +8d =37

by solving 1 and 2 we get d=4

Answer 2

Step-by-step explanation:

Given, 5th term =21

and 9th term =37

Now, a+(5-1)d=21 = a+4d =21 _ _ _( l )

a+(9-1)d=37 = a+8d =37 _ _ _ ( ll)

Solving equation (l) and (ll) :-

a+8d-a+4d = 37-21

12d =16

d =16/12

d =4/3