Quiz
Sign In
What is the relation between any two consecutive terms?
Pattern: arithmetic
Next Term: a_5=25
Rule for the nth term: a_n=6n-5
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. a_5=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. a_n = a_1+(n-1)d ⇓ &a_n = 1+(n-1) 6 &a_n = 6n-5