QuestionAugust 26, 2025

Find the 72nd term of the arithmetic sequence -27,-11,5,ldots Answer Attempt 1 out of 2 square

Find the 72nd term of the arithmetic sequence -27,-11,5,ldots Answer Attempt 1 out of 2 square
Find the 72nd term of the arithmetic sequence
-27,-11,5,ldots 
Answer Attempt 1 out of 2
square

Solution
4.0(173 votes)

Answer

1135 Explanation 1. Identify the common difference The common difference d is calculated as d = -11 - (-27) = 16. 2. Use the formula for the nth term of an arithmetic sequence The formula for the nth term is a_n = a_1 + (n-1)d. Here, a_1 = -27, n = 72, and d = 16. 3. Calculate the 72nd term Substitute the values into the formula: a_{72} = -27 + (72-1) \times 16.

Explanation

1. Identify the common difference<br /> The common difference $d$ is calculated as $d = -11 - (-27) = 16$.<br />2. Use the formula for the nth term of an arithmetic sequence<br /> The formula for the nth term is $a_n = a_1 + (n-1)d$. Here, $a_1 = -27$, $n = 72$, and $d = 16$.<br />3. Calculate the 72nd term<br /> Substitute the values into the formula: $a_{72} = -27 + (72-1) \times 16$.
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