Question

Write the first five terms of each sequence. $$a_{n}=6 n-3$$

   Write the first five terms of each sequence.
$$a_{n}=6 n-3$$

Precalculus

Margaret L. Lial,… 6th Edition

Chapter 11, Problem 12

Instant Answer

Solved by Expert Rakesh Kumar Sharma

08/27/2020

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The given formula is \( a_n = 6n - 3 \). Show more…

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Write the first five terms of each sequence. $$a_{n}=6 n-3$$

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Key Concepts

Substitution

Substitution is the technique of replacing a variable in a formula with a given numerical value to compute the result. In the context of sequences, direct substitution of the term's position into the general term formula yields the value of that term.

General Term Formula

The general term formula provides an expression for finding the nth term of a sequence directly from its position number. This formula allows for efficient computation of specific terms without needing to enumerate all preceding ones.

Arithmetic Sequence

An arithmetic sequence is a series of numbers in which each term is derived by adding a fixed constant, known as the common difference, to the previous term. This consistent difference makes it straightforward to predict and calculate any term in the sequence.

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