QuestionFind a formula for using the sequence .
Studdy Solution
STEP 1
Assumptions1. The sequence starts with . The sequence is linear, meaning each term increases by a constant difference3. We need to find a general formula for
STEP 2
First, we need to find the common difference in the sequence. This can be found by subtracting any term from the term that follows it.
STEP 3
Now, plug in the given values for and to calculate the common difference.
STEP 4
Calculate the common difference.
STEP 5
Now that we have the common difference, we can find the general formula for the nth term of an arithmetic sequence. This formula is given by
STEP 6
Plug in the values for and to find the general formula for .
STEP 7
implify the expression to get the final formula for .
So, the nth term of the sequence is given by .
Was this helpful?