Question

The general term of a sequence is given by as​=51+3(n−10), where a0​ is the initial value: Which of the following expressions also gives the general term of the sequence?

a. 10+3(51−n)
b. 17+3n
c. 21+3n
d. 51⋅3(0−10)

Answer 1

The general term of the sequence is a_n = 51 + 3(n - 10). Option b, 17 + 3n, also gives the general term.

Step-by-step explanation:

The general term of the given sequence is an = 51 + 3(n - 10). To determine which expression also gives the general term, we can simplify each option and compare them to the given expression.

• a. 10 + 3(51 - n)
• b. 17 + 3n
• c. 21 + 3n
• d. 51 * 3(0 - 10)

We can see that option b is equivalent to the given expression when simplified. Therefore, 17 + 3n also gives the general term of the sequence.