Question

Use the sum of the first 10 terms to approximate the sum of the series. (Round your answer to five decimal places.) ∑ n=1[infinity]​⁴ −ncos² (n) Estimate the error. (Round your answer to eight decimal places.) R 10​ ≤∫ 10t​ 4 x 1​ dx=

Answer 1

To approximate the sum of the series ∑n=1∞ 4 - ncos²(n), use the sum of the first 10 terms.

Step-by-step explanation:

To approximate the sum of the series ∑n=1∞ 4 - ncos²(n), we can use the sum of the first 10 terms.

First, calculate the sum of the first 10 terms by substituting the values of n from 1 to 10 into the given expression and adding them up.

Next, to estimate the error, find the integral ∫10t 4x dx from 0 to 10 and subtract the sum of the first 10 terms from this integral.