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Which tool can be used to find the nth term of an arithmetic sequence in precalculus?

a) Binomial theorem
b) Geometric mean calculator
c) Arithmetic sequence formula
d) Quadratic formula

1 Answer

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Final answer:

The correct tool to find the nth term of an arithmetic sequence is the Arithmetic sequence formula. It allows direct calculation of any term's value by using the first term and the common difference of the sequence.

Step-by-step explanation:

To find the nth term of an arithmetic sequence in precalculus, the correct tool to use is c) Arithmetic sequence formula. Unlike the binomial theorem, which is used for expanding expressions raised to a power, and the quadratic formula, which is for solving quadratic equations, the arithmetic sequence formula can directly provide you with the value of any term in the sequence without the need for further calculations.

The general form of the arithmetic sequence formula is An = A1 + (n-1)d, where An is the nth term you are seeking, A1 is the first term in the sequence, n is the term number, and d is the common difference between the terms of the sequence. By plugging the appropriate values into this formula, you can find the value of any term in the sequence.

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