Use the difference an+1 - an to show that the given sequence {an} is strictly increasing or strictly decreasing. n t- 7n – 6 n= An+1 An = 6. strictly increasing (7n – 6)(7n + 1)' 6. strictly decreasing (7n – 6)(7n + 1)' ;strictly decreasing (7n – 6)(7n + 6) 6. ;strictly increasing (7n + 6)(7n – 1)' strictly decreasing (7n + 6)(7n – 1)'

Q: Use the summation notation to rewrite the following expression. (1 - 2) - (2 - 2) - (3³ – 2) – (4³ –…

A: E (k3 – 2)(-1)k+1 = (1 x 1 x 1 – 2) – (2x2x2 – 2) + (3x3x3 – 2) – (4x4x4 – 2) + (5x5x5 – 2) So…

Q: (a) The nth term of a sequence is Un. The sequen

A: Introduction: 1: the sequence in which things are or should be linked, related, or dated Follow the…

Q: nd the following sum: 2 + 4 + 6 + 8 + ... + 88 using Gauss' method. Show all ste

A: To find the below sum using the Gauss' method. 2+4+6+8+...+88

Q: If all tems except ys of the sequence Y1, Y2» Y3»….. Y9 be given , show that the value of y5 is 56…

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Q: For the sequence -27, – 12, 3, 18, ..., the expression that defines the nth term where a, = -27 is…

A: A sequence is a function from natural number to real numbers. It is denoted by {an} where…

Q: Consider the sequence 2, 7, 12, 17, 22, 27, ..., 5n - 3. How many terms are there in the sequence?

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Find the value of x so that 65 - x, 2x - 17, x +1 form an arithmetic sequence. 100 40 O 25 O 33

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Q: Find the a0, a1, a2, and lim an for the following sequences: 3 x 10 = 30. an = (7+3n)/(5-2n) an =…

A: We can solve this by using definition of sequences

Q: Factor the difference an+1 a, to show that the given sequence {a, } is strictly increasing or…

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Q: Vn2 + 1 Let (bn)neN be the sequence defined by b, 2n Let e > 0. Derive a value of N (in terms of e)…

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Q: Use the difference an+1 - an to show that the given sequence {a,} is strictly increasing or strictly…

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Q: Can you use polynomial fitting to find the formula for the nth term of the sequence 4, 7, 11, 18,…

A: No. The sequence of differences is the same as the original sequence so no differences will be…

Q: iven the sequence (0, 0, 4, 4, 4, . ..) find the ordinary generating function and simplify if…

A: Given sequence is  0,0,4,4,4,....... The ordinary generating function can be derived as  ∑k=0∞ckxk…

Q: (d) xpy ↔ x² + y² = z² for some integer z; (1,0), (3,9), (2, 2), (3, 4) (e) xpy → x is a number from…

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Q: Factor the difference an+1 an to show that the given sequence {an} is strictly increasing or…

A: Given an = n15n + 10

Q: List the first four terms of each sequence. An = 2n + 6: 8 10 12 14 ,.... bn = (4)" : 4 16 64 256…

A: We can find first four term of the given sequences . Put n=1,2 ,3 ,4 and find four terms of the…

Q: ;Which sequence is increasing ? 7n-21 4n -7n+2 4n 4n+2 7n 7(-1)" 4 None of the others

A: We need to determine which sequence is increasing.

Q: Q #3 3m +9 8m +9 Evaluate the ratio " a n+1 / an and then Determine if each of the following…

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