Chapter 12: Q. 265 (page 1218)

In the following exercises, write the first five terms of each arithmetic sequence with the given first term and common difference.
$a_{1} = - 13$ and $d = 6$

Short Answer

Expert verified

We get the first five terms of the sequence as following:

$- 13, - 7, - 1, 5, 11$

Step by step solution

Step 1. Given information

We have first term $a_{1} = - 13$ and common difference $d = 6$ .

We have to write the first five terms of this arithmetic sequence.

Step 2. Find the second term

First term is $- 13$ .

Formula for $n^{t h}$ term is $a_{n} = a_{1} + (n - 1) d$ .

Put $n = 2$ .

$a_{2} = a_{1} + (2 - 1) 6 a_{2} = - 13 + (2 - 1) 6 a_{2} = - 13 + 6 a_{2} = - 7$

Step 3. Find third term

Put $n = 3$ .

$a_{3} = a_{1} + (3 - 1) 6 a_{3} = - 13 + (3 - 1) 6 a_{3} = - 13 + (2) 6 a_{3} = - 13 + 12 a_{3} = - 1$

Step 4. Find fourth term

Put $n = 4$ .

data-custom-editor="chemistry" $a_{4} = a_{1} + (4 - 1) 6 a_{4} = - 13 + (3) 6 a_{4} = - 13 + 18 a_{4} = 5$

Step 5. Find fifth term

Put $n = 5$ .

$a_{5} = a_{1} + (5 - 1) 6 a_{5} = - 13 + (4) 6 a_{5} = - 13 + 24 a_{5} = 11$

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In the following exercises, write the first five terms of each arithmetic sequence with the given first term and common difference.
$a_{1} = - 13$ and $d = 6$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Find the second term

Step 3. Find third term

Step 4. Find fourth term

Step 5. Find fifth term

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In the following exercises, write the first five terms of each arithmetic sequence with the given first term and common difference.a1=-13andd=6

Short Answer

Step by step solution

Step 1. Given information

Step 2. Find the second term

Step 3. Find third term

Step 4. Find fourth term

Step 5. Find fifth term

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Geometry

Decision Maths

Mechanics Maths

Logic and Functions

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

In the following exercises, write the first five terms of each arithmetic sequence with the given first term and common difference.
$a_{1} = - 13$ and $d = 6$