Find the indicated partial sum of the following series. 1 + 4 + 16 + 64 + …                         S12= ________ 3n + 9n + 15n + 21n + …                 S15= ______ a1=-4,         d=2                                S6= ________ a1=24,         d=-5                              S20= ________ a1=-16,         r=1/2                             S8= ________

Q: s = n(a, +a,) and S. - 8 (1-r) Use and 1-r 1-r 23. the sum of the arithmetic series -5 + -1 +3 + ...…

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Q: of the following find the series : Sum

A: ∑n=1∞(14n + 1n2-1) putting n = 114 + 10⇒ 10 is not defined.

Q: Find the sum of the series. 8!!! Σ 40n n=1 (2n-1)²(2n + 1)² The sum of the series is

A: A telescoping series is a series in which every element except for first and last term is cancelled.

Q: Determine the sum of the series n² +2n n=1 Write your answer as a numerical value in decimal form.

A:

Q: Find the sums of the following (geometric series): 3-1 1 - 6H-1 n=1

A: The given geometric series is: ∑n=1∞3n-1-16n-1 Note that, the geometric series ∑n=0∞a rn where a is…

Q: Evaluate the following series. Your final answer should be a number. 2" + 4(-1)"+1 5n (a) Э

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Q: evalutate each geometric series described Ex1: a1=3, a10= -1536, r=-2 Ex2: a1=-4, a9=-1024, r=-2…

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Q: Find the sum of the geometric series. −3 – 12 – 48 – 192, ... n = 6 O -3692 O -3320 0 1 O-4095

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Q: 2. Copy of Which of the following is equal to this sum: 3+9+27+81++3 3300 3301 -1 O a. -1 008 b.…

A: Option (a) is correct. See the attachment

Q: Find the first term and the ratio between successive terms for the following geometric series. 1-…

A: The given geometric series 1-2y2+4y4-8y6+....... The first term and the ratio of geometric series…

Q: Find the sum of the following series En=3 + 3n-1.

A: sum of the following series is given below...

Q: Find the indico 6. 2. 3+ 2 1..2+4+8+ 27 t. 4. 3. 12, (4)"- n= %3D1 2.

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Q: Suppose that an = 1, that S b, = -1, that a, = 2, and b1 = -3. Find the sum of the indicated series.…

A: given,

Q: – 1)"36"+2 (2n + 1)! Find the sum of the series:

A: Here we have to find the sum of the given series.