Consider the series Find an expression for an 72 720 an= (x-8)³ + (x-8)6 5-2! (x-8)⁹ (x-8)¹2 25-3! 125-4! + an= In the summation formula n starts at n = no. What is your starting index no? 4 no = (Note that because the validity of either of your answers depends on the other, if you enter only one, both will be marked wrong.)

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A: A power series is a series having an infinite number of terms in powers of x. Using power series,…

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

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Q: Find the sum of the terms of a series 2n-1 2"

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Q: Use a formula to find the sum of the series 4 16807 4 꼭 + 4 4 + 343 + 2101 + 4 + ... 49

A: sum of geometric series is   = a/(1-r)

Q: this sequence 31 27 23 19 Explain in detail how you could find the 10th term

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Q: Write the following series using summation notation. 126 150 + 90 + 42 + 5

A: Answer

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Q: Consider the sum (3)2 + (8)² + (13)2 + +(15n-2)2: ... (a) Write the sum in sigma notation.

A: Consider the sum  (3)2+82+132+.....................+(15n-2)2

Q: What is the summation from n = 1 to infinity, of  (3n+1) / (5n + 4) ?

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Q: Write the series using summation notation. -3 + 4 - 5+6-7 Σ i i=1

A: Given series is Let the nth term of the series is  then, In general, for n=1,2,3,4,5, we have

Q: b. Find an expression for the sum of the first n terms of the series 5+8+11+.. Hence, find the value…

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Q: For the sequence an = 2(an – 1– 2) and a1 = 3, its first term is its second term is its third term…

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Q: Find the first file terms of the following sequence bn=(-1) n(4n-4)

A: To determine: first five terms. Given: bn=(-1)n(4n-4)

Q: Gxplan why an =E convenges as Sequence, but diverges as series.

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Q: a. Consider the series 11 + 14 + 17 + 20 + 23 + 26. This series can be represented using summation…

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Q: Find the sum of the series

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Q: Find the sum of the infinite geometric series 2 + 2√2+2√2√2+2√2√2√2+..., where each term is obtained…

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Q: find the sum of the series

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