Step-by-step explanation:
The given sequence is 25, 29, 33, ....
The sequence represents arithmetic progression
In an AP, the first term is a1 = 25
The difference between two terms, d = 29 - 25 = 4
To find the 97th term,
By formula, [tex]a_{n} = a_{1} + (n - 1) d[/tex]
Substituting the values in the above equation, we get
[tex]a_{97} = 25 + (97 - 1) 4[/tex]
= 25 + (96 * 4)
= 25 + 384
= 409
The 97 th term in the given sequence is 409.
