Let an be the number of sets S of positive integers for which > Fk = n, kES where the Fibonacci sequence (F)k>1 satisfies F+2 = Fk+1 + F and begins F = 1, F =3. Find the largest integer n such that an 2020. %3D

Q: Use the difference an+1 – an to show that the sequence {n – 9"} is strictly increasing or strictly…

A: here sequence is n-9n so  an+1 = (n+1) - 9n+1          = n+1-9(9n) an = n - 9n so now an+1 - an =…

Q: ero on line For the sequence defined by: a1 = 1 4 an+1 = an Find: a2 %3D a3 = %3D 2]

A: SOLUTION-

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A: Given a statement

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

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Q: Use the difference an+1 – an to show that the sequence {n – 11"}t n=1 is strictly increasing or…

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Q: Help please

A: To prove that an​ is odd for all integers n≥1, we can use mathematical induction. ### Base…

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A: We have to find

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Q: Consider the following region R and the vector field F. a. Compute the two-dimensional curl of the…

A: F=5x,5y The curl for this vector field is given by =i^j^k^∂∂x∂∂y∂∂z5x5y0=k^∂∂x(5y)-∂∂y(5x)=0k^=0→.

Q: sequence of 10 letters from 10 A 10 8 10 C A code a) How many? (b) Even number of A and odd number…

A: Since you have posted a question with multiple sub-parts, we will provide the solution only to the…

Q: 1 Let xn=G, 2+-), nEN be a sequence in R?, then lim x, .A (0,2) .B [0,2] .C (2,3) .D (0,2]

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Q: 1)Give any example to show that refinement increases the lower sum . 2)Give any example to show that…

A: 1)Give any example to show that refinement increases the lower sum . 2)Give any example to show that…

Q: 12. The sequence des First five terms of the sequence: Domain: Range: Maximum: Minimum: -10 -10 Y -5…

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A: Given an is convergent So an is bounded since any convergent sequence is bounded

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Q: AN KHRI ZE L Activity #1 3. Section: CHLORINE er each of the following. Attached another sheet of…

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Q: vīz, vi2+ V12 , V12+ V12+ V12 ,. .... Consider this sequence: i.e., a, = V12, a,1 = V12+a, ,n>1 Use…

A: Given a1=12 and an+1=12+an, n>1 First of all, we will write the first 10 terms in the given…

Q: A sequence is said to be decreasing sequence if

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Q: is The sequence -

A: follow next step

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.