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What is the formula for the summation of an infinite geometric sequence?

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Final answer:

The formula for the summation of an infinite geometric sequence is S = a / (1 - r), where S is the sum of the sequence, a is the first term, and r is the common ratio.

Step-by-step explanation:

The formula for the summation of an infinite geometric sequence is given by:

S = a / (1 - r)

where S is the sum of the sequence, a is the first term, and r is the common ratio.

For example, if the first term is 2 and the common ratio is 0.5, the sum of the infinite geometric sequence would be:

S = 2 / (1 - 0.5) = 4.

User Simon Desfarges
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