Question

In an arithmetic sequence the first term is 2 and the second term is 5 , find the eighth term

Answer 1

23

Explanation:

Arithmetic sequence:

In arithmetic sequence, the difference between any consecutive terms is constant and the progression goes either in ascending order or in descending order.

a = first term = 2

a₂ = 5

difference = d = second term - first term

= 5 - 2

d = 3

Formula for finding nth term in arithmetic sequence:

`\sf \boxed{t_n = a + (n-1)*d}`

t₈ = 2 + (8 -1) * 3

= 2 + 7 *3

= 2 + 21

t₈ = 23