Use the difference an+1 - an to show that the sequence {n – 9"t0 Sn=1 is strictly increasing or strictly decreasng. An+1 – An | Use the dropdown menu to indicate whether the sequence is strictly increasing or strictly decreasing. Choose one ▼

Q: C1 = -5, C, = 3c,-1 – 2 : ...

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Q: Explain how notation in sequence works.

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Q: 9 16 2' 3' 25 What is the 30th term of the sequence 4, -- -

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Q: Find the 13th term of the arithmetic sequence 3x-11, -6, -3x-1, -6x + 4.

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Q: (ii) Verify whether the sequence a, =4" +5 is a solution of the recurrenc %3D relation a…

A: Given that, the sequence is an=4n+5 and the recurrence relation is an=5an-2-4an-2. Obtain an-1.…

Q: 1. Prove by definition that the sequence {1/√n}1 is convergent. Also find its limit. 2. Prove that…

A: (1) we need to prove by definition that the sequence {1/√n} is convergent and find the limit of the…

Q: 7x-12 18) x-3 x-3 -121 21 + 21 19) t-3 1-3 a' +4a 32 20) a +1 la +24 a² +1 la +24

A: Simplification

Q: Write the first three terms of the sequence defined by a₁ = 2, 2a, +3 an +1 = an +2 'n

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Q: Suppose you have the sequence 4, 1, -2, -5,.. . Find the sum of the first 20 even terms.

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Q: Write the second term of the sequence.

A: an=(-1)n4n-1

Q: Can the sequence 2, −4, 8, −16, 32, … be represented by an exponential function? Why or why not?

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Q: #37 i Write a recursive rule for the sequence. 7, 6, 13, 19, 32, ... = 7 %3D a, an Previous 29 30 31…

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Q: e first six terms of the se n - 1 n -2 f(n) 2 3

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Q: (1 + V5)" – (1 – V5)" 5 1 Gn = 2" TABLE command on a graphing calculator to find the first ten terms…

A: Given that Gn=15(1+5)n-(1-5)n2nUsing a calculator we…

Q: Find a convergent subsequence of the sequence { (-₁ (₁-4). -1)"

A: Let xn=(-1)n(1-1n). Then x2n=(-1)2n(1-12n)=1-12n.

Q: an

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Q: Write an expression for the nth term of the sequence 2 4 } 22 3² > 8 " 16 32 52'62'

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