Chapter 7: Q. 26 (page 592)

In Exercises, find a plausible formula for the general term of the given sequence.
$\{1, 7, 13, 19, 25, \dots\}$

Short Answer

Expert verified

The plausible formula for the general term of the sequence is $a_{k + 1} = a_{k} + 6,$ where $a_{1} = 1 .$

Step by step solution

Step 1. Given information.

The given sequence is $\{1, 7, 13, 19, 25, \dots\} .$

Step 2. plausible formula for the general term.

the first term of the sequence is $a_{1} = 1 .$

The second term of the sequence is $a_{2} = 7 = a_{1} + 6 .$

similarly, the third term of the sequence is $a_{3} = 13 = a_{2} + 6 .$

In sequence $\{1, 7, 13, 19, 25, \dots\},$ difference between consecutive terms is $6 .$

So plausible formula for the general term of the sequence is $a_{k + 1} = a_{k} + 6,$ where $a_{1} = 1 .$

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In Exercises, find a plausible formula for the general term of the given sequence.
$\{1, 7, 13, 19, 25, \dots\}$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. plausible formula for the general term.

One App. One Place for Learning.

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In Exercises, find a plausible formula for the general term of the given sequence.1,7,13,19,25,…

Short Answer

Step by step solution

Step 1. Given information.

Step 2. plausible formula for the general term.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Pure Maths

Theoretical and Mathematical Physics

Applied Mathematics

Geometry

Statistics

Study anywhere. Anytime. Across all devices.

In Exercises, find a plausible formula for the general term of the given sequence.
$\{1, 7, 13, 19, 25, \dots\}$