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Arithmetic Sequences
When a pattern has each term differentiated by the same additional number, it has formed an Arithmetic Sequence.. We can find the sum of all our terms (Sn) by using the formula below:

Check your answer by adding
3 + 7 + 11 + 15 + 19 in a
calculator
It equals 55!
n= the final term number
Geometric Sequences
A geometric sequence is a sequence composed of multiplication. There are 2 types of geometric sequences. The first type implies a a number being more than 1 that the pattern increases by.
Shown below is a way to find the sum of all the terms (Sn) by using an equation:

a= the first term
r= the difference

The 2nd geometric sequence is composed of a difference in the pattern from a number that is less than 1. Reminder: this sequence multiplies. To find out all the terms to their sum (Sn), we can use the following equation:

Check your answer
by adding all the terms
together!
a= first term
r= the difference
Factoring






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