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