The sum of the infinite and finite geometric sequence

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Presentation transcript:

The sum of the infinite and finite geometric sequence

The sum of the first n terms of a sequence is represented by summation notation. upper limit of summation lower limit of summation index of summation 2

The sum of a finite geometric sequence is given by 5 + 10 + 20 + 40 + 80 + 160 + 320 + 640 = ? n = 8 a1 = 5

If |r| < 1, then the infinite geometric series The sum of the terms of an infinite geometric sequence is called a geometric series. If |r| < 1, then the infinite geometric series a1 + a1r + a1r2 + a1r3 + . . . + a1rn-1 + . . . has the sum

Example: Find the sum of The sum of the series is