QuestionJuly 27, 2025

What is the 20th term of the arithmetic sequence a(n)=-5+(n-1)3 ? a. 55 b. 52 c. 49 d. 46

What is the 20th term of the arithmetic sequence a(n)=-5+(n-1)3 ? a. 55 b. 52 c. 49 d. 46
What is the 20th term of the arithmetic sequence
a(n)=-5+(n-1)3 ?
a. 55
b. 52
c. 49
d. 46

Solution
4.0(181 votes)

Answer

b. 52 Explanation 1. Identify the formula for the nth term The formula given is a(n) = -5 + (n-1) \cdot 3. 2. Substitute n=20 into the formula Calculate a(20) = -5 + (20-1) \cdot 3. 3. Simplify the expression a(20) = -5 + 19 \cdot 3 = -5 + 57 = 52.

Explanation

1. Identify the formula for the nth term<br /> The formula given is $a(n) = -5 + (n-1) \cdot 3$.<br />2. Substitute n=20 into the formula<br /> Calculate $a(20) = -5 + (20-1) \cdot 3$.<br />3. Simplify the expression<br /> $a(20) = -5 + 19 \cdot 3 = -5 + 57 = 52$.
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