Fint 30th term of the arithmetic series 2, 5, 8, …

basaltico00

basaltico00

Answered question

2022-09-26

Fint 30th term of the arithmetic series 2, 5, 8, …

Answer & Explanation

Kaiden Stevens

Kaiden Stevens

Beginner2022-09-27Added 12 answers

One way to tackle this would be to count up all the way to the 30th term.

The more elegant way would be to create a linear equation, where f(x) is the number in the sequence and x is the term number.

We can see that the arithmetic sequence rises by 3 each term, so 3 is our slope. We also know that the first term is 2 (when x=1), so we can figure out that our equation must be f(x)=3x−1.

With this, we can plug in 30 for x and get 89.

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