Chapter 12: Q. 22 (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?
$a_{1} = 0; d = π$

Short Answer

Expert verified

The $n$ th term is $a_{n} = (n - 1) π$ and the fifty-first term is $50 π$ .

Step by step solution

Step 1. Given information

$a_{1} = 0; d = π$

Step 2. Calculation

The $n$ th term is -

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

$a_{n} = 0 + (n - 1) π$

$a_{n} = (n - 1) π$

and the fifty-first term is -

$a_{51} = 0 + (51 - 1) π$

localid="1648664439241" $= 0 + (50) π$

$= 50 π$

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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?
$a_{1} = 0; d = π$

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=0;d=π

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

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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?
$a_{1} = 0; d = π$