roblem 2. Let n be a positive integer. Find the number of permutations a1, a2, ... , An the sequence 1, 2,...,n satisfying a1 < 2a2 < 3az < · < nan. ..

Q: The 2 – tail of the sequence Y = (1, 3, 5, 7, 9,... , 2n – 1, . ..) is: O Y = (7,9,..., 2n + 5, ...)…

A:

Q: 1 i needsss the helpss ?())?@

A: Step 1: Step 2: Step 3: Step 4:

Q: The number sequence a1, a2, a3, .... is defined by a1 = 8 a2 = 24 and recursion formula 4an + 1…

A: We need to show that an=5n-12n-2 for a1=8 and a2=24  The given recursion formula is…

Q: Find an a and y such that 3, x, y, 42, ... becomes an arithmetic sequence. (Hint: and y should be…

A: We need to find x and y such that 3,x,y,42 are in Arithmetic sequence and x and y such that…

Q: 35 (b) (5+7k) = k=D1

A:

Q: Calculate an for the sequence 2/(12+1) +1/(22+1) +2/(32+1) +1/(42+1) +.

A:

Q: This is a mathematics question. There are 8 numbers in a sequence that add up to 250 (ex.…

A: The details are given as step 2.

Q: Suppose that the sequence {ax} is =0 2, 4, 6, 8, 10, 12, 14, 16, .. What is a1?

A: The given sequence {ak}k=0∞ is -  {ak}k=0∞ = 2,4,6,8,10,12,14,16,18,......... The first tern of the…

Q: Suppose I choose two numbers from the set {1, 2, 3,… 100}. How many have an even sum? Show all work.

A: Introduction: There are total 100 numbers between 1 and 100. Out of these, 50 numbers are odd: 1, 3,…

Q: . n &gt; 5 only if n &gt; 7.

A: Given that n&gt;5 only if n&gt;7

Q: Show that n! > 3ª for n > 7.

A: The given inequality is, n!&gt;3n We need to prove that, the inequality is true for n≥7 Firstly,…

Q: (6) Find the sum of the integers for 7 to 508 Tmelusive,

A: first term (a0) = 7last term( an) = 508,     d = 1 ( natural no.)first we have to find total no of…

Q: 1.) 8,15,22, 29,  which explicit formula generates the sequence if n represents the term number?

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: What is the 100th term of {a} {an}=-5, 5, -5, 5, -5, 5, ... where n ≥ 1

A:

Q: Write a recurrence relation that describes the sequence 1, 1,3, 3,5,5, 7,7,9,9, .... Don't forget to…

A: We will find out the required recurrence relation.

Q: 1.) Show that the sequence 2,11, 20, 29, ... is arithmetic.

A: we have to show that the given sequence is arithmetic

Q: What is the 20th term of the sequence 0, 3, 8, 15, 24, 35, 48, . . ? (Answer is an integer) explain…

A: Given sequence is 0, 3, 8, 15, 24, 35, 48,..... We have to find the 20th term of the given sequence.…

Q: Show that if a and x are any two nonzero real numbers, then ,-1,,-.. is a geometric sequence.

A:

Q: 6. Find the 25th term of the sequence -1, 3, 9, ... -

A: The formula for nth term of a GP is given as follows where a is the first term of GP r is the common…

Q: generate a rule for each sequence ½, ⁸/3, ²⁷/4...

A: Given That : A sequence  12,83,274....... To Find: General rule for the given sequence

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.