1. Aim: What is the geometric series ?
Do Now: Find the sum of each of the following sequences:

2. The sum of an geometric sequence is called geometric series
The formula to find the finite (limited number of terms) geometric sequence is
3, 15, 75, 375, 1875, 9375, 46875, , is a geometric sequence, find the sum of sequence.

3. Write as a series and then find the sum

4. Infinite series : The last term of the series is the infinity
An infinite arithmetic series has no limit
An infinite geometric series has no limit when
An infinite geometric series has a finite limit when the limit can be found by the formula

5. Find the sum of the following infinite geometric sequence: 4, 4(0
Find the sum of the following infinite geometric sequence: , 4(0.6), 4(0.6)2, 4(0.6)3, . . ., 4(0.6)n - 1 , . . .
a1 = 4 and r = 0.6
Find

6. Find the sum of the first 10 terms of the geometric
series
Find the sum of five terms of the geometric series whose first term is 2 and fifth term is 162
S5 = 242

7. 1. Find the sum of first 10 terms of 250, 100, 40, 16,...