If it's convergent find its sum.

Priscilla Johnston
2021-12-10
Answered

Determine whether the geometric series is convergent or divergent.

$10-4+1.6-0.64+\dots .$

If it's convergent find its sum.

If it's convergent find its sum.

You can still ask an expert for help

Juan Spiller

Answered 2021-12-11
Author has **38** answers

Step 1

Let

Given that S is a geometric series,

The known fact is that a geometric series

By comparing the given series with its general form,

This implies that the series

Step 2

The known fact is that a geometric series

asked 2020-11-12

Identify whether the series is an arithmetic series (AS), geometric series (GS) or not one of the difined types ( NASGS ) and determine the sum (for NASGS, write NO SUM). Write your Solution.

a.$1+\frac{3}{2}+\frac{9}{4}+...+\frac{81}{16}$

a.

asked 2021-08-13

Consider two series $\sum _{n=1}^{\mathrm{\infty}}\frac{1}{2}\pi nZ{\textstyle \phantom{\rule{1em}{0ex}}}\text{and}{\textstyle \phantom{\rule{1em}{0ex}}}\sum _{n=0}^{\mathrm{\infty}}\frac{1}{{\pi}^{2}}n$ . Which of them converges?

asked 2021-03-05

Q1. Does a series

asked 2021-05-18

Let P(k) be a statement that

for: The basis step to prove

for:Show that

for: Identify the inductive hypothesis used to prove

for: Identify the inductive step used to prove

asked 2021-05-12

Determine whether the series is convergent or divergent.

$1+\frac{1}{2\sqrt{2}}+\frac{1}{3\sqrt{3}}+\frac{1}{4\sqrt{4}}+\frac{1}{5\sqrt{5}}+\dots $

asked 2021-08-21

Missing number in the series 9, ____, 6561, 43046721 is: 81 25 62 31 18

asked 2022-01-31

Use rationialization to simplify the given expression.