obtain the exact sum of n terms of the following series (2+3)+(6+3^2)+
obtain the exact sum of n terms of the following series (2+3)+(6+3^2)+
Use the telescoping series method to find the sum 4 n+2 n + 3 The sum of the series is 2 (Type an exact answer, using radicals as needed.)
7(5)n-1 Find the exact sum (no decimal approximations) of the series 2 - n=1 e series -. (no explanation needed) . 8
1199031 Consider the following series 1 (a) Use a graphing utility to graph several partial suns of the series. 6 n-1 n-6 -3 (b) Find the sum of the series and its radius of convergence. (e) Use a graphing utility and 50 terms of the serles to approximate the sum when x -0.5. (Round your answer to six decimal (d) Determine what the approximation represents. The sum from part (c) is an approximation of In(0.3) Determine how good the approximation...
1 1. Find the exact sum of the following infinite series as indicated below: -1 1 1 1 1 + n(-4) 2(16) 3(64) 4(256) a. Let f(x) = 2n=1 (-1) x". I n a b. Find the power series for the derivative f'(x), and observe that it is a geometric series. Find its first term and common ratio. c. Use the formula 1-r to find an algebraic expression for f'(x). d. Integrate to find an algebraic expression for f(x). Make...
write a recursive algorithm to find the sum of the first N terms of the series 1, 1/2, 1/3, ... 1/N
the following series. a) Use the sum of the first 10 terms to estimate the sum of the given series. (Round the answer to six de 10 (b) Improve this estimate using the following inequalities with n 10. (Round your answers to six decimal (c) Using the Remainder Estimate for the Integral Test, find a value of n that will ensure that the error in th n>22 O n 13 On>0 O n> -22 d Help?
the following series. a)...
Problem 3. Consider the series: 1 n [ln (n)]4 n=2 a) (6 pts) Use the integral test to show that the above series is convergent. b) (4 pts) How many terms do we need to add to approximate the sum within Error < 0.0004.
Use the sum of the first 10 terms to approximate the sum S of the series. (Round your answers to five decimal places.) 4 n 1 n 1 S Estimate the error. (Use the Remainder Estimate for the Integral Test.) error s
Use the sum of the first 10 terms to approximate the sum S of the series. (Round your answers to five decimal places.) 4 n 1 n 1 S Estimate the error. (Use the Remainder Estimate for the...
Question 3(6 pts): Obtain the Fourier Series representation for the signal when n-Ak when n=4k + 2 f for some integer k x[n]=-1 or some int eger k 0 else Thus x[n] = 0 for odd n and alternated between-1 and 1 for even values of n. (You are asked to obtain an expression for x[n] ..., where the right hand side is a Fourier Series and contains no "unknown".)
10) (4 pts.) If we approximate the sum of the series E 74+1 by adding the first 3 terms, what do we (-1)"n² know about how close the approximation is to the exact sum of the series? N-