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91Ó°ÊÓ

Find the indicated term for the arithmetic sequence with first term, \(a_{1}\), and common difference, \(d\). Find \(a_{20}\), when \(a_{1}=-20, d=-4\).

Short Answer

Expert verified
The twentieth term of the arithmetic sequence is -96.

Step by step solution

01

Understand the arithmetic sequence formula

The nth term (\(a_{n}\)) of an arithmetic sequence can be found using the formula: \(a_{n} = a_{1}+(n-1) * d\). Where \(a_{1}\) is the first term, n is the number of the term to find, and d is the common difference.
02

Substitute the given values into the formula

Substitute \(a_{1} = -20\), \(d = -4\), and \(n = 20\) into the formula, it becomes: \(a_{20} = -20+ (20-1) * -4\).
03

Calculate the result

Perform the operations. It implies that \(a_{20} = -20 + -76 = -96\).

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