Let, aj = 3 and for n > 2, an = 2an-1 +1, express a, in terms of n.

Q: Find an expression for An, where n is an arbitrary positive integer.

A: Given: A=1423∈M2×2R

Q: Prove by direct proof that any integer n ≥ 3 can be part of a Déjà vu Pair n = [11 · · · 1]b for…

A: Given: Any integer n≥3 can be part of a Déjà vu Pair n=11...1b for some base b≥2.   To prove: The…

Q: 5. Find the on the interval [0, 4]

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Q: 6. Show that, for integer s, S. s! | x25+lexp(-ax²)dx =: 2a +1

A: Note: Given proof statement has a little mistake, I have proof the actual result. First i have…

Q: Find the product and addition of the approximate numbers x, = 32.452 and x, = 24.3595 all of whose…

A: x1=32.452 and x2=24.3595 To Find: a) Product and addition of the approximate numbers. b) Relative…

Q: Let p e Z+. Does there exists a positive multiple of p that contains only the digits 7 and 0?…

A: we have  to find a positive  multiple  of p that contains  only  7 and  0 for some p in Z^+.

Q: Given: 23 = Z1 Prove: АВ АС 2 3/6 E

A: Given: The angle ∠3 is equal to ∠1. Concept used: If the two angle of a triangle is equal then side…

Q: 2. Let, a1 = 3 and for n 2 2, an = 2am-+1, express an in terms of n. 3. Let, a1 =3, a2 = 4 and for n…

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

Q: d) 85% of all students finish the activity in less than secon Submit Question

A: X~N( μ = 38.6 , ? = 6.3 ) μ = 38.6 , ? = 6.3 Z-score =( x - μ )/?

Q: assume that Pr[A]=0.25Pr[A]=0.25, Pr[B]=0.35Pr[B]=0.35, and Pr[A∩B]=0.1Pr[A∩B]=0.1. 1)Pr[A|B] =…

A: Given: P(A) =0.25 P(B)=0.35 P(A∩B) =0.1

Q: Let, a, = 3, a2 = 4 and for n2 3, a,= 2an-1+ an-2 + n + 1, express a, in terms of n. %3D %3D %3D

A: The nth term of A.P is given by an=a+n-1d we have,  a=3,d=4-3=1an=3+n-11=2+n we get,…

Q: Let an = an-1+ an-2 with ao = 0, a1 = 1. Show that an is even iff ( if and only if) n is a multiple…

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Q: Let w be defined as 2 more than the number of digits in the integer w. For example, 15 =4(2 digits…

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Q: Let, a1 = 3 and for n > 2, an = 2an-1+ 1, express an in terms of n.

A: a1 = 3 and, an = 2an-1 + 1 for, n≥2 We have to find the generalized term using the recursion…

Q: Let, a, = 3, a2= 4 and for n2 3, a,= 2an-1+ an-2, express a, in terms of n. %3D

A: we have the nth term of A.P is given by  an=a+n-1d here,  a=3, d=4-3=1an=3+n-11=2+n we get,…

Q: (b) Show that įn is real, even though i or 9i is not.

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Q: Show that 1-r for any r 1 1 and any 3. nEN

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Q: 2. Let, a1 = 3 and for n > 2, an 2an-1+1, express an in terms of n.

A: As per our guideline we are supposed to answer only one asked question.kindly repost other question.…

Q: Find the probablity that in one day, the student is studying a. less than I hour b. between 2 and 3…

A: The random variable X be the total number of hours spent by a student to study The probability…

Q: Find all (p, q, r) such that ((p + -4) evaluates to 1.

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Q: Show that any positive integer n with n ≥ 4 can be expressed as n = 2x + 5y where x ≥ 0, y ≥ 0.

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Q: Let, a1 = 3, a2 = 4 and for n > 3, an = 2an-1+an-2 + n², express an in terms of n.

A: In this question, we solve the recurrence relation  in terms of n an=2an-1+an-2+n2witha1=3a2=4

Q: et, a1 = 3, a2 = 4 and for n > 3,an = 2an-1 + an-2 +n², express an in terms of n. %3D

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Q: a n eln t--+

A: Given a function : h(x)=31-2x+2 We need to find the graph of this function.

Q: -a = Y express L and K as expressions of

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Q: Find x for which det(A)=0 7-x -2 A = 1- x 0. 5- x The sum of the answers is....

A: See the detailed solution below.

Q: Show that for all n e Z, n? – 3n +17 2. -

A: Given: For all n∈ℤ, n2-3n+1≠2

Q: Show that if a, = (a" – B"), where a = (1 + v5)/2 and ß = (1 – V5)/2 , then th An = an-1 + an-2 and…

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Q: Let, a1 = 3, a2 = 4 and for n > 3, an = 2an-1 +an-2 +n², express an in terms of n. %3D

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Q: Prove that max(x, y) =x+y2+|x−y|2, and figure out what the analogous expression should be for min.

A: To show

Q: Complete the steps by app that the left hand side of th the right hand side. Nec in a ot

A: To prove.

Q: Assume a1,a2,...,an are positive numbers, a1+a2+...+an=1. Prove: Please use non-calculus method)

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Q: Let, a1 = 3, a2 = 4 and for n > 3, an = 2an-1+an-2 +n², express an in terms of n.

A: a1=3, a2=4 n≥3; an=2an-1+an-2+n2 First from the given, the given values shows that the terms are in…

Q: Let...

A: Given expansion formula is  a+bn=∑nkk=0nan-kbk

Q: Let the numbers c1, C2, ... be defined inductively as follows: c1 = 0 and for every n >1 the number…

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Q: Given: 5(2x – 8) = 30; Prove: x = 7 -

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Q: let n be a positive integer not exceeding 20. How many values of n such that the equation x^2 +…

A: We have to find the values of n for which x^2+y^3n+1=1.

Q: n Show that (") = (,“,) n-r.

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Q: 2. Let, a1 = 3, a2 = 4 and for n > 3, an = 2an-1+an-2 + 5n, express an in terms of n.

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Q: Let, a1 = 3, a2 = 4 and for n 2 3, an = 2an-1 +an-2 – 5, express an in terms of n.

A: We will first find the roots of characteristic equation and write general solution of homogeneous…

Q: 3. Let, a1 = 3,az = 4 and for n > 3, an = 2an-1+ an-2 – 5, express a, in terms of n. %3D %3D

A: An arithmetic progression is a sequence of numbers such that the difference d between each…

Q: In the diagram below, prove that AKLM = AKNM. K

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

Q: 2. Let, a, = 3, a2 = 4 and for n 2 3, an= 2an-1+ an-2 + 5, express a, in terms of n.

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Q: + .... Ex. 5. Prove that P,(-) = P,(-}) P,(4) + P,(-1)P2m -1 () + -. Pa(-)P.().

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Q: If a ≠ 0, the degree of axn is__________.

A: We have to fill in the blanks: If a≠0, the degree of axn is ----. We know that degree of any…

Q: How many extensions of g to A are one-to-one? How manu ou

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Q: Let A = {r € Z:I mod 7 = 2} and let B = {r € Z: 7|(x – 2)}. Show that A = B. %3D

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Q: Prove that Q (1 + i) belongs to Q (4-i)

A: Prove that Q (1 + i) belongs to Q (4-i)

Q: Find a number 8 such that if |x – 2| < 8, then |4x – 8| < ɛ, 11) where ɛ %3D 0.01.

A: Ffind the delta