Find the 60th term of the arithmetic sequence

Answered question

2022-09-07

Find the 60th term of the arithmetic sequence -10,8,26

Answer & Explanation

Mr Solver

Mr Solver

Skilled2023-05-25Added 147 answers

To find the 60th term of the arithmetic sequence -10, 8, 26, we can use the formula for the nth term of an arithmetic sequence.
The given sequence has a common difference of 8(10)=18.
The formula for the nth term of an arithmetic sequence is:
an=a1+(n1)·d
where an is 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=10 and the common difference d=18.
Substituting these values into the formula, we can find the 60th term:
a60=10+(601)·18
Simplifying the expression:
a60=10+59·18
a60=10+1062
a60=1052
Therefore, the 60th term of the arithmetic sequence -10, 8, 26 is 1052.

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