The following is an A.P
9,x,y,z,25
Find the 60th term
To find the 60th term of the arithmetic progression (A.P.), we need to know the common difference between consecutive terms. Unfortunately, the given sequence does not provide enough information to determine the common difference.
In an A.P., the nth term (Tn) can be calculated using the formula:
Tn = a + (n - 1) * d
Where:
a = first term of the A.P.
n = number of terms
d = common difference between consecutive terms
Since we don't know the first term (a) or the common difference (d), we cannot find the 60th term.
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.