4. As in 1(a) on the previous page, define a sequence of integers a1, a2, a3, ... by a1 = 1, a2 = 3, and a = a4 + ar–1 for each integer t 2 3. Prove by strong induction that an <(n for each integer n2 1.

Q: Part II(Multiple choice; True/False): Choose the correct answer and provide a brief reason for your…

A: A Sequence is a function whose domain is the set of Natural number and Range can any set.…

Q: A stack of boxes has 17 rows. The bottom row has 40 boxes, and the top row has 8 boxes. Assuming…

A: A stack of boxes has 17 rows. so, number of rows, n=17 Bottom row contains 40 boxes. ∴ a1 = 40 Top…

Q: what is the sum of the first 11 terms of geometric progression

A: The sum of the first 11 terms of geometric progression

Q: What is the difference between sequence and progression?

A: Definition of the Sequence : Sequence are a set of numbers, which are arranged according to any…

Q: At the beginning of Claudia Shaffer's exercise program, she rides 15 minutes on the Lifecycle. Each…

A: The general term of this sequence can be expressed as: an=a1+(n-1)d where a1 is the initial term of…

Q: Two positive numbers x and y are in the sequence 4, x, y, 12. The first three numbers form an…

A:

Q: Consider the sequence 8,5,2,-1,......, -52 how many terms are in the sequence?  this is the…

A: The given sequence is 8, 5, 2, - 1,......, - 52 The first term is a = 8 Common difference d = 5-8 =…

Q: 1+4+9+16+25+36 translate into summation notation

A: It can be rewritten as,

Q: An IT company labels its products by sequences of 4 symbols which are either capital letters or…

A: The number of ways of selecting r things from a total number of n things is given by the expression…

Q: lberto is considering taking a job with a company where the sequence {$50,000;$50,700;$51,400;…

A: Given sequence is $50,000;  $50,700;  $51,400;  $52,100;  $52,800.... To find the value in the 6th…

Q: There’s no end to the number of geometric sequences that I can generate whose first term is 5 if I…

A: Consider the given statement "There’s no end to the number of geometric sequences that I can…

Q: 5 2² Find the sum of the first 8 terms in the sequence 5, 10, 20,....

A: I am attaching image so that you understand each and every step.

Q: Calculate mentally, using adjustment. Write down a sequence of numbers indicating intermediate steps…

A: b)Given 496+349  Here we need to remove 1 from the first term and add that 1 to the second term…

Q: MOST (General Move): (5) A cashier disengages a scanner from its holster within reach and puts it on…

A: The general move sequences can be analyzed using MOST, andgeneral the move sequence is defined asA –…

Q: Can you see the next number in this sequence: 3, 8, 11, 16?

A: The difference between the first number 3 and second number 8 is 5.The difference between the second…

Q: Until recently, all area codes had a 0 or a 1 as the middle digit and the first digit could not be 0…

A: Given: All area code has 0 or 1 as a middle digit and first digit could not be 0 or 1 and third…

Q: Write the explicit formula for the sequence 3, 7, 11, 15, 19, 23, ...

A:

Q: The sequence 8, 32, 128, 512, … represents the number of sit-ups Billy did during each workout…

A: Given, 8,32,128,512... Recursive rule means using previous number to get the next sequence number.…

Q: What is the sequence of 1,3,7,15,31

A: Given query is to find the sequence.

Q: ( 1 point) Updike Upholstery cuts and sews fabric for custom ordered chairs, ottomans, and sofas.…

A: The objective of the question is to determine the sequence of jobs that will complete the customer's…

Q: What is the next three terms of the given sequence 25,12,-1,-14,-27,_,_

A:

Q: Why is the sequence geometric

A: To explain why the given sequence is geometric.

Q: Direction: • On a graph paper below, color two small squares side by side of length 1. • Directly…

A: Square: A square is made up of four sides and four vertices. A square's sides are all the same…

Q: find the sum of the first 10 terms of geometric progression 2x,4x+14, 20x-14

A: Geometric progression: A sequence in which the next term is produced by multiplying a fixed number…

Q: what do you call the indicated sum of the terms in a sequence

A:

Q: Given the sequence of numbers write a recursive equation 6, -2, -10, -18, -26,...

A: An arithmetic sequence is a collection of numbers in which repetition is allowed and an arithmetic…

Q: Find the sum of the first 10 terms of the geometric progression 2, 4, 8, 16 …

A: To find the sum of the first 10 terms of the geometric progression 2, 4, 8, 16 ...

Q: Mikayla is building a pyramid of paper cups. The bottom row has 61 cups while the top row has only…

A: Explanation of the answer is as follows

Q: What is the formula of the sequence -6,-3,-2,-3/2,-6/5...

A: The sequence is -6,-3,-2,-3/2,-6/5...