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91Ó°ÊÓ

Find the indicated term for the arithmetic sequence with first term, \(a_{1}\), and common difference, \(d\). Find \(a_{12}\), when \(a_{1}=12, d=-5\).

Short Answer

Expert verified
The 12th term of the given arithmetic sequence is -43.

Step by step solution

01

Identifying the Given Values

From the problem, the given values are the first term \(a_{1} = 12\) and the common difference \(d = -5\). We are asked to find the 12th term \(a_{12}\) of the sequence.
02

Substitute the Values into the formula

The formula for the nth term of an arithmetic sequence is \(a_{n} = a_{1} + (n-1)*d\). Substituting the given values into this formula gives: \(a_{12} = a_{1} + (12-1)*d = 12 + 11*(-5)\).
03

Calculate the Value of \(a_{12}\)

Calculate the value of \(a_{12}\) by performing the operations: \(a_{12} = 12 + 11*(-5) = 12 - 55 = -43\).

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