Mathematics: So i got a math worksheet and i don’t get it. 24/30 what would be my answer but in a

Check step-by-step-explanation.Step-by-step explanation:A given criteria for geometric series of the form is that . Other wise, the series diverges. When it converges, we know that . So,a) diverges since b)converges since , and c)We can use the series in b) but starting at n=1 instead of n=0. Since they differ only on one term, we know it also converges and . d)Based on point c, we can easily generalize that if we consider the following difference So, they differ only by 1 if the series converges....

So i got a math worksheet and i don’t get it.

Ответ:

clinton1790

14.01.2022

Mathematics

Step-by-step explanation:

24/30 = 0.8

0.8 * 100 = 80%

turn the fraction into a decimal...then multiply that by 100 to get ur percent

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Ответ:

levicorey846

01.08.2020

Mathematics

Check step-by-step-explanation.

Step-by-step explanation:

A given criteria for geometric series of the form $\sum_{n=0}^{\infty} r^n$ is that |r| . Other wise, the series diverges. When it converges, we know that

$\sum_{n=0}^\infty r^n = \frac{1}{1-r}$ .

So,

a) $\sum_{n=0}^\infty (\frac{3}{2})^n$ diverges since $\frac{3}{2}1$

b) $\sum_{n=0}^\infty (\frac{1}{2})^n$ converges since $\frac{1}{2}$ , and

$\sum_{n=0}^\infty (\frac{1}{2})^n= \frac{1}{1-\frac{1}{2}} = \frac{2}{2-1} = 2$

c)We can use the series in b) but starting at n=1 instead of n=0. Since they differ only on one term, we know it also converges and

$\sum_{n=1}^{\infty}(\frac{1}{2})^n = \sum_{n=0}^{\infty}(\frac{1}{2})^n-(\frac{1}{2})^0 = 2-1 = 1$ .

d)Based on point c, we can easily generalize that if we consider the following difference

$\sum_{n=1}^\infty r^n-\sum_{n=0}^\infty r^n = r^0 = 1$

So, they differ only by 1 if the series converges.

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So i got a math worksheet and i don’t get it. 24/30 what would be my answer but in a

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