Chapter 6 Assignment 1. Book exercises: 4a, 6b, 9, 11, 13, 58 X1. Compute 2k=1 (ak-1)(3k+2) for several values of n. Make and prove a conjecture about the sum. Hint: When creating examples to make a conjecture, write the first sum you calculate (when n = 1) with numerator 1, the second sum with numerator 2, etc.

Q: Write the sum using sigma notation: – 10 + – 6+ – 2+... + 10 | Σ i=1 MacBook Pro

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Q: se the summation notation to rewrite the following expression (13 − 9) − (23 − 9) + (33 − 9) − (43…

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Q: Evaluate the sum 8 Σk(2k +3) = k=1 Σκ(2k + 3). k = 1 (Simplify your answer.)

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Q: Evaluate the sum Σ ( - 16k). S k=1

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Q: Evaluate the sums

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Q: (2) Give the infinite sum definition of e using factorial numbers. e Please don't forget at the end.…

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Q: Evaluate the sums

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Q: 4) Evaluate the sum. Et=2(3k – 21)

A: Given K=2,3,4

Q: write the sum using sigma:   13+7+3+(-1)+(-5)

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Q: Use the summation notation to rewrite the following expression (13 − 9) − (23 − 9) + (33 − 9) − (43…

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Q: (a) Place the digits 7, 9, 10, 11, and 12 in the circles to make the sums across and vertically…

A: The digits 7, 9, 10, 11, and 12 are given.a) Arrange the numbers such that the horizontal (the sum…

Q: Evaluate the sum f I (^. K?

A: For the given summation  ∑k=15(-1)k.k2

Q: Write the following sum as sigma notation and use k as your index variable: -2,4,-8+...+64,-128

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Q: Write using summation notation:(> ) 4 5 + 3! 4! 5! 6 13 3. +· (12)!

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Q: 100 7. Evaluate the telescoping sum. 102 101 100 101 1 101 102 101 100 99 100

A: Topic- Summation series

Q: Write the sum using sigma notation: A 9+ 13+17+21+-..+ 37 > B, where 72 A

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.