Find the 97th term of the arithmetic sequence 17, 26,

avissidep

avissidep

Answered question

2021-08-16

Find the 97th term of the arithmetic sequence 17, 26, 35,

Answer & Explanation

firmablogF

firmablogF

Skilled2021-08-17Added 92 answers

Step 1
The given arithmetic sequence is 17,26,35,.......
The first term of A.P. is 17.
The common difference is 2617=3526=9.
Here, a=17 and d=9
Step 2
The nth term of an A.P. is calculated by an=a+(n1)d.
Substitute the value of a=17,d=9 and n=97an=a+(n1)d.
an=17+(971)9
=17+969
=17+864
=881
Therefore, the 97th term of the arithmetic sequence is 881.
Jeffrey Jordon

Jeffrey Jordon

Expert2022-08-02Added 2605 answers

Answer is given below (on video)

alenahelenash

alenahelenash

Expert2023-06-18Added 556 answers

Answer: 881
Explanation:
An arithmetic sequence is a sequence in which the difference between consecutive terms is constant. In this case, the common difference is obtained by subtracting the first term from the second term. So, in the given sequence, the common difference (d) is:
d=second termfirst term=2617=9.
The formula for the nth term of an arithmetic sequence is:
an=a1+(n1)d, where an represents the nth term, a1 is the first term, n is the term number, and d is the common difference.
Now, substituting the given values into the formula, we have:
a97=17+(971)·9.
Simplifying further:
a97=17+96·9.
Evaluating the expression:
a97=17+864.
Finally, we can compute the value:
a97=881.
Therefore, the 97th term of the arithmetic sequence 17, 26, 35 is 881.
star233

star233

Skilled2023-06-18Added 403 answers

To find the 97th term of an arithmetic sequence, we can use the formula:
an=a1+(n1)d
where an represents the nth term, a1 is the first term, n is the term number, and d is the common difference.
In this case, the first term a1 is 17, and the common difference d can be found by subtracting the first term from the second term:
d=2617=9
Now we can substitute the values into the formula to find the 97th term:
a97=17+(971)·9
Calculating this expression, we get:
a97=17+96·9=17+864=881
Therefore, the 97th term of the arithmetic sequence 17, 26, 35 is 881.

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