Find the 60th term of the following arithmetic sequence.5, 14, 23, 32,
Question
Find the 60th term of the following arithmetic sequence.5, 14, 23, 32,
Solution
The given sequence is an arithmetic sequence. In an arithmetic sequence, the difference between any two successive members is a constant. This constant difference is also called the "common difference".
The common difference (d) can be found by subtracting the first term from the second term.
d = 14 - 5 = 9
The nth term (Tn) of an arithmetic sequence can be found using the formula:
Tn = a + (n - 1) * d
where:
- Tn is the nth term
- a is the first term in the sequence
- n is the position of the term in the sequence
- d is the common difference
We are asked to find the 60th term, so n = 60. The first term a = 5, and the common difference d = 9.
Substituting these values into the formula, we get:
T60 = 5 + (60 - 1) * 9 T60 = 5 + 59 * 9 T60 = 5 + 531 T60 = 536
So, the 60th term of the given arithmetic sequence is 536.
Similar Questions
Find the 64th term of the following arithmetic sequence.7, 15, 23, 31,
Find the 63rd term of the following arithmetic sequence.6, 13, 20, 27,
An arithmetic sequence has a common difference of 10 and its 6th term is 52. Find its 30th term.
Find the 62nd term of the following arithmetic sequence.17, 22, 27, 32, …312
An arithmetic series seventh term is 27 and thirteenth term is 45.Find the twentieth term of the series.3 marks
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.