Calculus Examples Sequences and Series

Find the Fourth Term

, ,
Step 1
This is an arithmetic sequence since there is a common difference between each term. In this case, adding to the previous term in the sequence gives the next term. In other words, .
Arithmetic Sequence:
Step 2
This is the formula of an arithmetic sequence.
Step 3
Substitute in the values of and .
Step 4
Simplify each term.
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Step 4.1
Apply the distributive property.
Step 4.2
Multiply by .
Step 5
Subtract from .
Step 6
Substitute in the value of to find the th term.
Step 7
Multiply by .
Step 8
Subtract from .

Sequences and Series

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