Question
Find the 97th term of the arithmetic sequence 25, 29, 33,..
Answers
GPT 3.5
To find the 97th term of an arithmetic sequence, we can use the formula:
An = A1 + (n-1)d
where:
An = the nth term of the sequence
A1 = the first term of the sequence
n = the term number
d = the common difference between consecutive terms
In this sequence, A1 = 25, d = 4 (since each term is increasing by 4), and we want to find the 97th term:
A97 = 25 + (97-1)4
A97 = 25 + 96*4
A97 = 25 + 384
A97 = 409
Therefore, the 97th term of the sequence is 409.
An = A1 + (n-1)d
where:
An = the nth term of the sequence
A1 = the first term of the sequence
n = the term number
d = the common difference between consecutive terms
In this sequence, A1 = 25, d = 4 (since each term is increasing by 4), and we want to find the 97th term:
A97 = 25 + (97-1)4
A97 = 25 + 96*4
A97 = 25 + 384
A97 = 409
Therefore, the 97th term of the sequence is 409.