Chapter 12: Q. 2 (page 816)

For an arithmetic sequence $\{a_{n}\}$ whose first term is $a_{1}$ and whose common difference is $d$ , the $n$ th term is determined by the formulalocalid="1649236114475" $a_{n} = a_{1} + n d$ .

Short Answer

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The solution is false.

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Step 1. Given information

For an arithmetic sequence $\{a_{n}\}$ whose first term is $a_{1}$ and whose common difference is $d$ , the $n$ th term is determined by the formulalocalid="1649236123907" $a_{n} = a_{1} + n d$ .

Step 2. Calculation

The statement " for an arithmetic sequence $\{a_{n}\}$ whose first term is $a_{1}$ and whose common difference is $d$ , the $n$ th term is determined by the formula localid="1649236132909" $a_{n} = a_{1} + n d$ " is false since the correct formula is $a_{n} = a_{1} + (n - 1) d$ .

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For an arithmetic sequence $\{a_{n}\}$ whose first term is $a_{1}$ and whose common difference is $d$ , the $n$ th term is determined by the formulalocalid="1649236114475" $a_{n} = a_{1} + n d$ .

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation

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For an arithmetic sequence anwhose first term is a1and whose common difference is d, the nth term is determined by the formulalocalid="1649236114475" an=a1+nd.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation

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Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Theoretical and Mathematical Physics

Applied Mathematics

Decision Maths

Geometry

Mechanics Maths

Study anywhere. Anytime. Across all devices.

For an arithmetic sequence $\{a_{n}\}$ whose first term is $a_{1}$ and whose common difference is $d$ , the $n$ th term is determined by the formulalocalid="1649236114475" $a_{n} = a_{1} + n d$ .