47-54 . Evaluating a Sum Find the sum. -47. Σ 48. Σ 100 49. 50. Σ(-1γ j=1 12 51. Σ1 + (-1)] 52. Σ10 i=1 i=4 53. Σ 21 54. Σ12 k=1 i=1

Q: 2. Write the following sum and product in summation notation or product notation (using E or 11). Do…

A: Summation notation provides a compact way to represent the addends in sums. Likewise product…

Q: Rules of Summation A. Expand the following summation by writing without summation sign 1. Σ=1X 2.…

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Q: Use the Summatioi formulasS to Ite the expressioi witriouL the surimation nolationI. 6k(k – 1) n3 k=…

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Q: k=3 i=1 2. Rewrite the sum 3.6+4 7+5.8+ +100 103 using the summation notation Σ and thus evaluate…

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Q: n          Sum= [i3 − (i − 1)3] i=1

A: Refer to the question we need to find the value of the provided expression as,

Q: Choose the sequence that is written in increasing order. Select one: -3 -18 9 23 -1 8-3 23 2 -3 8 2…

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Q: 3η2 + 4. n 1 Σ(5)

A: Given series is

Q: Find the value of the summation. 2* = | k=1 Enter an integer or decimal number (more..]

A: We plug k=1,2, and 3, then add them

Q: 64 Find the sum of the series 9 + 12 + 16 + + 2621 218

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Q: * Express the sum using summation notation 6² 6² 6th Complete the sum of the sequence. 0 Σ 4 k=1

A:

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: (d) p+3 E (3k2 – 2k + 1). k=-2 (e) р-1 E (3k? – 2k + 1). k=-2

A: Solution:

Q: (c) Use a calculator to verify that S. `x = 60, Sx² = 954, ) y = 640, y² = 91,850, and xy = 9,180.…

A: Correlation coefficient : r=n(∑xy)-(∑x)(∑y)[ n∑x2-(∑x)2 ] [ n∑y2-(∑y)2 ]

Q: Find the sum of the serles 75 (b) (a) (d) None of the above

A: Sum of the series

Q: II.) Show your solution completely. 1. What is the 30th term of the Fibonacci number? (2 points) 2.…

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Q: Write the sum in summation notation 1/8 + 1/27 + 1/64 + 1/125 +...1/512

A: The objective of the question is to express the given series in summation notation. Summation…

Q: Express the description of a sum using summation notation: The sum that results from adding the…

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Q: Express the sum in terms of n.

A: Given: ∑k=1nk2+3k+5

Q: n-1 Suppose a, = 4()"- Find the following sums. (Enter fractions with a diagonal bar. e.g. 5/7.) a)…

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Q: Evaluate the sum 50 Σ(2 · k + 5) = k=1 50 Σ5₁(2. k+5). k=1

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Q: 8) Determine the exact value of the following sum. Show all work. * 3(-1)" 4n(n + 5) n=2

A: The answer is given as follows.

Q: Use the summation formulas to rewrite the expression without the summation notation. 8i + 7 n2 i = 1…

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Q: Find the sum of each finite series. (2n-1) 22. (3n+2) 23. -2

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Q: Evaluate the summation 5/32 31/32 93/80

A: This question is based on summation.