Question

the first term of an AP is 2 and 9th term is 26, find the common difference​

Answer 1

Explanation:

Let a is first term and d is common difference of an A.P.

t1=a=2

tn=a+(n-1)d

t9=a+(9-1)d

26=2+8d

8d=26-2

8d=24

d=24/8

d=3

Therefore,the common difference is 3.

Answer 2

Explanation:

Let a is first term and d is common difference of an A.P.

t1=a=2  

tn=a+(n-1)d  

t9=a+(9-1)d  

26=2+8d  

8d=26-2  

8d=24

d=24/8  

d=3

Therefore,the common difference is 3.