3 years ago

5 x a x 5 x a simplified

Mathematics

1 answer:

Fittoniya [83]3 years ago

3 0

Answer:

5a^2

Step-by-step explanation:

5ax5a=5a^2

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Determine how many terms of the following convergent series must be summed to be sure that the remainder is less than 10 Supersc

algol13

Answer:

You need to sum at least 5000 terms

Step-by-step explanation:

Remember what the estimation theorem for alternating series says.

Given a series

$s = \sum\limits_{n=0}^{\infty} (-1)^n a_n$

An upper bound for the error of the series $R_n$ is $a_{n+1}$ so

$R_n = |s-s_n| \leq a_{n+1}$

For this case you want

$\frac{1}{2n+1} \leq \frac{1}{10^4}\\10^4 \leq 2n+1\\(10^4-1 )/2 \leq n$

$(10^4-1 )/2$ is approximately 5000. So you must sum at least 5000 terms.

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