and Geometric Series and Their Sums Objectives You should be able to NOTE The difference between a series and a sequence is that a sequence is a list of terms where a series is an indicated sum of the terms of sequence ID: 585413
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Slide1
13.3 – Arithmetic
and Geometric Series and Their Sums
Objectives: You should be able to…
Slide2
NOTEThe difference between a series and a sequence is that a sequence is a list of terms, where a series is an indicated sum of the terms of sequence. In section 13.3 we will consider finite series and their sums.Slide3
Formulas SUM OF FINITE ARITHMETIC
SERIESThe sum of the first n terms of an arithmetic series is:Slide4
Ex. Find S50 of the arithmetic series…5 + 10 + 15 + …Slide5
Formulas SUM OF FINITE GEOMETRIC SERIESThe sum of the first n terms of a
geometric series is: Where r is the common ratio and r ≠ 1Slide6
Ex. Find the sum of ...3 + 9 + 27 +… +
6561Slide7
Find the sum of all positive 3-digit integers that are divisible by 8.
Example:Slide8
Example:Find the sum of the first 10 terms of the geometric series
2 – 6 + 18 – 54 + …