How to find the nth term of an arithmetic sequence?
A) By multiplying the common difference (d) by the term number (n).
B) By adding the common difference (d) to the first term (a_1) n times.
C) By using the formula a_n = a_1 + (n – 1)d, where a_1 is the first term and d is the common difference.
D) By dividing the nth term by the common difference (d).
Correct Answer:
C) By using the formula a_n = a_1 + (n – 1)d, where a_1 is the first term and d is the common difference.
Explanation:
The nth term (a_n) of an arithmetic sequence can be found using the formula a_n = a_1 + (n – 1)d, where:
- a_n is the nth term.
- a_1 is the first term.
- n is the term number.
- d is the common difference between consecutive terms.
Option C represents the correct formula for finding the nth term of an arithmetic sequence, which involves adding the common difference (d) to the first term (a_1) multiplied by (n – 1) times. Options A, B, and D do not accurately describe the process of finding the nth term.
