asked 53.0k views
1 vote
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).

2, 6, 10,..
Find the 41st term.

asked
User Salieu
by
8.2k points

1 Answer

4 votes

The given sequence appears to be an arithmetic sequence, as the common difference between consecutive terms is 4.

The nth term of an arithmetic sequence is given by the formula: a_n = a_1 + (n-1)d, where a_1 is the first term, d is the common difference and n is the nth term.

Given that the first term of the sequence is 2, the common difference is 4.

To find the 41st term of the sequence, we can use the formula:

a_41 = 2 + (41-1) * 4 = 2 + 40 * 4 = 2 + 160 = 162

Therefore, the 41st term of the sequence is 162.

answered
User Hristo Stoyanov
by
8.4k points

Related questions

asked Mar 25, 2024 104k views
Zimbabwe Elephant asked Mar 25, 2024
by Zimbabwe Elephant
8.3k points
2 answers
5 votes
104k views
asked Feb 10, 2024 235k views
RichardTheKiwi asked Feb 10, 2024
by RichardTheKiwi
7.8k points
1 answer
4 votes
235k views
Welcome to Qamnty — a place to ask, share, and grow together. Join our community and get real answers from real people.