Question

18 th term of the AP : x- 7, x - 2, x + 3, ............is :

Answer 1

Answer:

the 18th term of the given AP is (X + 78)

Step-by-step explanation:

here is the step by step explanation

Given the A.P series

x-7, x-2, x+3,......x−7,x−2,x+3,......

we have to find the 18th term of A.P

An arithmetic sequence is a sequence of numbers where each number is the sum of previous number and a constant, called the common difference.

Common difference=}d=x-2-(x-7)=x-2-x+7=5Common difference=d=x−2−(x−7)=x−2−x+7=5

x-7, x-2, x+3,......x−7,x−2,x+3,......

a=x-7, d=5, n=18

The recursive formula for A.P is

18th term = (x-7) + ( 18-1)5

18th term = x-7 + (17 × 5)

18th term = x-7 + 85

18th term = (x + 78)

hence the 18th term of the given AP is (X + 78)