Question

Which statement about convergent infinite geometric series is true?

a.The graph of a convergent infinite geometric series goes to infinity.

b.The graph of an infinite geometric series curves away from its sum.

c.A finite geometric sequence will have an infinite geometric series.

d.An infinite geometric series converges if −1

Answer 1

Answer:

B. The graph curves away from its sum

Step-by-step explanation:

Answer 2

A convergent infinite geometric series, the graph of the series curves away from the sum, the correct option is B.

What is a Geometric Series?

A sequence of numbers such that the consecutive term is increasing or decreasing by a fixed ratio is called a geometric series.

The standard equation for geometric series is

Tₙ = a₁ rⁿ⁻¹

The sum of an infinite geometric series is given by

S = a₁/(1-r)

where a₁ is the first term and r is the common ratio.

The graph of an infinite series curves away from its sum.

To know more about Geometric Series

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