Aim: What is the geometric series ?

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Presentation transcript:

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

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, 234375, 1171875 is a geometric sequence, find the sum of sequence.

Write as a series and then find the sum

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

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

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

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