For the series <10-4 n = 8 ] n=1 (-1)" find the least number n of terms needed so that its partial sum 6520.82 + 71

Q: Find sum of series 9/(4n-3)(4n+3)

A: The given series is 9(4n-3)(4n+3) We have to find the sum of the series. That is…

Q: Use geometric series formula to calculate: 10+50+250+...+10*5^m, where m(greater than or equal to)0

A: geometric series

Q: Find the sum to n terms of the series I +3? +5² +...to n terms

A:

Q: Express as the sum of a power series: (5z + 6)(6z + 6) (3)"] 1/7 17

A: Using partial fractions:  x5x+66x+6=15x+6-16x+6                            =1/61--56x-1/61--x…

Q: Determine the number of terms necessary to approximate the sum of the series 3(−1)n n² +8 with an…

A: We have to calculate the number of terms needed to approximate the sum of the series  with an error…

Q: What is the center of the power series

A: We have to find the centre of the given power series.

Q: Find the sum of the series 8 n=1 (-1)¹-1 nen 2n T (-1)" + (-9)" (2n)! √3.3" (2n+1)

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Q: 2n-1 n²(n+1)

A:

Q: The sum of series Ln=1 (2n – 1)(2n + 1) is اخترأحد الخيارات 2 3 -3 312

A: We will use the trick of telescoping series and find the sum. The detailed solution is as follows…

Q: Find the sum of the series 11" 15"n! n=0

A: To find the sum of the given series.

Q: Write out the first 5 terms of the series E(- 1)"- n=1 n =1 n25n

A:

Q: Write the first five terms (or the series in summation notation) of the Taylor series for 2x2 /…

A:

Q: Given the geometric series 4+20+100+500+2500+12,500 which can be used to find the sum of the first…

A:

Q: Find the sum for the first n terms of series partial fract p2 + 3r + 2 Hence, find the sum of…

A:

Q: How can you estimate the error involved in approximating the sum of an alternating series with one…

A: The alternating series test:

Q: find the sum of 12 terms of the given series -114,-109,-104..... to 12 terms

A: