What is the relation between any two consecutive terms?
Pattern: arithmetic Next Term:a5=25 Rule for the nth term:an=6n−5
Let's start by paying close attention to the terms of the given sequence.
a11a27a313a419
We can see that the difference between any two consecutive terms is always 6. Therefore, we have an arithmetic sequence with a common difference of 6. To find the 5th term, we will add 6 to the 4th term.
a5=19+6=25
Finally, considering that we have an arithmetic sequence with a first term of 1 and a common difference of 6, we can write its rule.
Mathleaks uses cookies for an enhanced user experience. By using our website, you agree to the usage of cookies as described in our policy for cookies.