7. The sequence (an) = {41} is strictly increasing for increasing n. Show this to be true by +1 (i) analysing the behaviour of the difference of successive terms, an+1 − An⋅ (ii) analysing the behaviour of the ratio of successive terms, an+1/an.

Q: Find the sum of the first five terms of the sequence. (Assume that the sequence is defined for n ≥…

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Q: Determine the generating function for the following sequence: (),-), (2),,(-1)" (a),.. where a is a…

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Q: (g) The nth term is 2llog n]. (h) The nth term is [. 3

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Q: Justify 5 For the sequence an = (^3) + mln (m³) 0(?) e am= 0(?) 2 find: am Justify your answers.

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Q: The answer above is NOT correct. Suppose that a sequence an, satisfies a₁ = 1, a2 = 8 5' = 2끙, a4 az…

A: a1=14a2=-85a3=276a4=-647

Q: a1=1 , an+1=4-an , n is greater than or equal to 1 is the sequence convergent or divergent?  what if…

A: Given that a1=1 and an+1=4-an, n≥1 Write down the first few terms of the sequence: a1=1, Substitute…

Q: Find the explicit formula for the geometric sequence b, with the following information given. bị = 7…

A: Given : b1=7b4=-5627

Q: 2.152.All the expressions of an arithmetic sequence (a,) are positive and different from each other.…

A: Given : all the expressions of an arithmetic sequence an are positive and different from each other,…

Q: Is it pi/8 times the square root of 2 to the 3rd power, that is 8, minus one in that order?? Using…

A: Given: A=∫0π2∫01r2+1rdrdθ   To Solve: The given integral.

Q: 4 Chose the formula for the nth term of the Geometric Sequence: 6, 4, 4, 10

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Q: a. the sequence is given by an=1/(n^7/6)      lim n→∞ an=  b.  the sequence is given by…

A: We need to solve separately a. the sequence is given by an=1/(n^7/6)      lim n→∞ an=  b.  the…