Chapter 12: Q. 18 (page 816)

Find the $n$ th term of the arithmetic sequence $\{a_{n}\}$ whose initial term $a_{1}$ and common difference $d$ are given. What is the fifty-first term?
$a_{1} = 6; d = - 2$

Short Answer

Expert verified

The $n$ th term is localid="1648724671067" $a_{n} = 8 - 2 n$ and the fifty-first term is $- 94$ .

Step by step solution

Step 1. Given information

$a_{1} = 6; d = - 2$

Step 2. Calculation

The $n$ thterm is -

$a_{n} = a_{1} + (n - 1) d$

localid="1648724608193" $= 6 + (n - 1) (- 2)$

$= 6 - 2 n + 2$

$= 8 - 2 n$

and the fifty-first term is -

localid="1648664061766" $a_{51} = 6 + (51 - 1) (- 2)$

$= 6 + (- 100)$

$= - 94$

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Find the $n$ th term of the arithmetic sequence $\{a_{n}\}$ whose initial term $a_{1}$ and common difference $d$ are given. What is the fifty-first term?
$a_{1} = 6; d = - 2$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation

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Find the nth term of the arithmetic sequence anwhose initial term a1and common difference dare given. What is the fifty-first term?a1=6;d=-2

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Discrete Mathematics

Statistics

Probability and Statistics

Geometry

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Find the $n$ th term of the arithmetic sequence $\{a_{n}\}$ whose initial term $a_{1}$ and common difference $d$ are given. What is the fifty-first term?
$a_{1} = 6; d = - 2$