The following is an A.P

9,x,y,z,25
Find the 60th term

1 answer

The given sequence is an arithmetic progression (A.P.) with common difference d.

In an arithmetic progression, each term is formed by adding the common difference to the previous term.

Let's determine the common difference between the terms:
d = 25 - 9 = 16

We know the first term (aₙ) is 9, and we need to find the 60th term (a₆₀).

The formula to find the nth term (aₙ) in an arithmetic progression is:
aₙ = a + (n - 1)d

Substituting the known values into the formula:
a₆₀ = 9 + (60 - 1)(16)
a₆₀ = 9 + 59(16)
a₆₀ = 9 + 944
a₆₀ = 953

The 60th term of the arithmetic progression is 953.