Write the first six terms of the sequence.$a_n=3n-1$an=3n−1The first six terms of the sequence are , , , , ,

Question

Write the first six terms of the sequence.

The sequence is defined as:

$a_n = 3n - 1$

The first six terms of the sequence are , , , , , .

🧐 Not the exact question you are looking for?Go ask a question

Solution

To find the first six terms of the sequence defined by $a_n = 3n - 1$ , we will substitute the values of $n$ from 1 to 6 into the formula.

Step 1: Calculate Each Term

For $n = 1$ : $a_1 = 3(1) - 1 = 3 - 1 = 2$
For $n = 2$ : $a_2 = 3(2) - 1 = 6 - 1 = 5$
For $n = 3$ : $a_3 = 3(3) - 1 = 9 - 1 = 8$
For $n = 4$ : $a_4 = 3(4) - 1 = 12 - 1 = 11$
For $n = 5$ : $a_5 = 3(5) - 1 = 15 - 1 = 14$
For $n = 6$ : $a_6 = 3(6) - 1 = 18 - 1 = 17$

Final Answer

The first six terms of the sequence are: 2, 5, 8, 11, 14, 17.

This problem has been solved

Similar Questions

Find the first four terms of the sequence defined below, where n represents the position of a term in the sequence. Start with n = 1.an = 6n2 + 9n − 6

Find the first five terms of the sequence defined below, where n represents the position of a term in the sequence. Start with n = 1.an = 4(3)n

A sequence is given by the formula of its nth term : an =10−3n. prove that an is an arithmetic progression.

Find the first five terms of the sequence defined below, where n represents the position of a term in the sequence. Start with n = 1.an = 69n − 25

In an arithmetic progression the first term is 5 and its common difference is 3. If the general term is an , find a18 - a13.

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.