Knowee
Questions
Features
Study Tools

Find the 54th term of the arithmetic sequence minus, 2, comma, minus, 8, comma, minus, 14, comma, point, point, .−2,−8,−14,...

Question

Find the 54th term of the arithmetic sequence

2,8,14,-2, -8, -14, \ldots

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

Solution

The given sequence is an arithmetic sequence, which means that each term is obtained by adding a constant difference to the previous term.

In this case, the common difference (d) is -8 - (-2) = -6.

The formula to find the nth term of an arithmetic sequence is given by:

a_n = a_1 + (n - 1) * d

where: a_n is the nth term, a_1 is the first term, n is the position of the term in the sequence, d is the common difference.

Substituting the given values into the formula, we get:

a_54 = -2 + (54 - 1) * -6 a_54 = -2 + 53 * -6 a_54 = -2 - 318 a_54 = -320

So, the 54th term of the given arithmetic sequence is -320.

This problem has been solved

Similar Questions

Find the 12th term of the geometric sequence 2, comma, minus, 8, comma, 32, comma, point, point, .2,−8,32,...

Write the next three terms of the arithmetic sequence. First term:   $17$17​  Common difference:  $-9$−9​The next three terms are  , , and .

Instructions: Select the appropriate explicit rule for the given sequence. Sequence: −14,86,186,286,…

Describe the pattern of the sequence, $-1,\ 8,\ 23,\ 44$−1, 8, 23, 44​ .The pattern is .Question 2Find the next term.The next term is .

The nth term of a sequence is given by the formulaTn = 34 - 8n. The first negative term of the sequence is -8 -2 -4 -6

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.