Question

Determine the 5th and 20th terms of the arithmetic sequence above. (2 points) 5th term is 20th term is

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the nth term of an arithmetic sequence, you can use the formula:

An = A1 + (n-1)d

where:
An = the nth term
A1 = the first term
n = the term number
d = the common difference

Given that the first term (A1) is 3 and the common difference (d) is 5, we can now find the 5th and 20th terms.

For the 5th term:
A5 = 3 + (5-1) x 5
A5 = 3 + 4 x 5
A5 = 3 + 20
A5 = 23

So, the 5th term is 23.

For the 20th term:
A20 = 3 + (20-1) x 5
A20 = 3 + 19 x 5
A20 = 3 + 95
A20 = 98

So, the 20th term is 98.