Question

The first term of an A.P. is –4 and the 10th term is 14. Determine the 30th
term of A.P

Answer 1

Answer: The 30th term of A.P is 54

Step-by-step explanation:

First term a = -4

Nth term of a series is find by

an=a+(n-1)d

a10=-4+(10-1)d=14

a10=-4+9d=14

-4+9d=14

9d=14+4

9d=18

d=18/9

d=2

Therefore, we get the common difference is d=2

30th term=-4+(30-1)2

=-4+29x2

=-4+58=54

Hence, we get the 30th term of A.P is 54