meredith48034
meredith48034 meredith48034
  • 03-08-2019
  • Mathematics
contestada

Converges and diverged part 4
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Converges and diverged part 4 class=

Respuesta :

freckledspots freckledspots
  • 03-08-2019

Answer:

Diverges; no sum

Step-by-step explanation:

This is comparable to:

[tex]\sum_{k=1}^\infty a \cdot r^{k-1}[/tex] where:

r is the common ratio and [tex]a[/tex] is the first term.

The series converges to:

[tex]\text{First term}\cdot \frac{1}{1-\text{common ratio}}[/tex]

if the ratio's absolute value is less than 1.

This is a geometric series.

The common ration is -1.04 .

The first term in the series is 0.001.

Since the absolute value of -1.04 is 1.04>1, the series diverges.

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