Chapter 3: Q6. (page 208)

Write an equation for the nth term of the arithmetic sequence shown below.
-2,1,4,7,10,13,…..
F $a_{n} = 2 n - 1$
G $a_{n} = 2 n + 4$
H $a_{n} = 3 n + 2$
J $a_{n} = 3 n - 5$

Short Answer

Expert verified

The nth term of the arithmetic sequence is given as $a_{n} = 3 n - 5$ .

Option J is correct.

Step by step solution

Step 1. State the concept of arithmetic sequence.

In an Arithmetic Sequence the difference between one term and the next is a constant.

The nthterm of the Arithmetic sequence is given by the formula

$a_{n} = a + (n - 1) d d = a_{2} - a_{1}$

Where, $a_{1} = a =$ first term and role="math" $d =$ common difference.

Step 2. Find the common difference.

The common difference is given as:

$d = a_{2} - a_{1} d = 1 - (- 2) d = 1 + 2 d = 3$

Step 3. Find the nth term of the arithmetic sequence.

The nth term of the arithmetic sequence is calculated as follows.

$a_{n} = a + (n - 1) d = - 2 + (n - 1) 3 = - 2 + 3 n - 3 a_{n} = 3 n - 5$

Therefore, option J is correct.

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Write an equation for the nth term of the arithmetic sequence shown below.
-2,1,4,7,10,13,…..
F $a_{n} = 2 n - 1$
G $a_{n} = 2 n + 4$
H $a_{n} = 3 n + 2$
J $a_{n} = 3 n - 5$

Short Answer

Step by step solution

Step 1. State the concept of arithmetic sequence.

Step 2. Find the common difference.

Step 3. Find the nth term of the arithmetic sequence.

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Write an equation for the nth term of the arithmetic sequence shown below. -2,1,4,7,10,13,…..Fan=2n-1 Gan=2n+4H an=3n+2Jan=3n−5

Short Answer

Step by step solution

Step 1. State the concept of arithmetic sequence.

Step 2. Find the common difference.

Step 3. Find the nth term of the arithmetic sequence.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Geometry

Logic and Functions

Pure Maths

Theoretical and Mathematical Physics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Write an equation for the nth term of the arithmetic sequence shown below.
-2,1,4,7,10,13,…..
F $a_{n} = 2 n - 1$
G $a_{n} = 2 n + 4$
H $a_{n} = 3 n + 2$
J $a_{n} = 3 n - 5$