Question

Trixie now wants an arithmetic sequence with a common difference of -17. What is the nth term of this sequence if the first term is 35?

a) 18 - 17n
b) 35 - 17n
c) 35 + 17n
d) 18 + 17n

Answer 1

The nth term of the arithmetic sequence with a common difference of -17 and a first term of 35 is 18 - 17n.

Step-by-step explanation:

To find the nth term of an arithmetic sequence, we use the formula:
an = a1 + (n-1)d
where an is the nth term, a1 is the first term, n is the position of the term, and d is the common difference. In this case, the first term (a1) is 35 and the common difference (d) is -17. Substituting these values into the formula, we get:
an = 35 + (n-1)(-17)
Simplifying, we have:
an = 35 - 17n + 17
an = 18 - 17n