Question

6/10
how do you find the 10th term in an arithmetic sequence?
multiply the first term by 10
use the formula $a_n = a_1 + (n-1)d$
add the common difference to the first term 10 times
subtract the common difference from the first term 10 times

Explanation:

An arithmetic sequence has a constant common difference $d$ between consecutive terms. The formula $a_n = a_1 + (n-1)d$ directly calculates the $n$th term, where $a_1$ is the first term, $n$ is the term number, and $d$ is the common difference. For the 10th term, substitute $n=10$. The other options are incorrect: multiplying the first term by 10 does not account for the common difference; adding the common difference 10 times would give $a_1 + 10d$, which is the 11th term; subtracting the common difference is not how arithmetic sequences progress to higher terms.

Answer:

B. Use the formula a sub n = a sub 1 + (n-1) * d