2. a. Determine if the following sequence is montone increasing or decreasing or neither. Explain your answer a₁ = 1; an + 1 = an + 3 2 b. Does this sequence converge? (You may use theorems to help you explain your answer).

Q: 42. j=1 ¹3 (²) 243

A:

Q: he following sequence is geometric x + 1,3x, 5x+2

A: Since x+1 ,3x, 5x+2 is geometric sequence. Then   there common ratio of  sequence are  equal.

Q: The nth term of the geometric sequence is . a1 = 17, r = -2, n = 8.

A: Given that, a1 = 17, r = -2, n = 8

Q: 14) Find a remainder after dividing 2300 on 3.

A: We have, 22≡1 (mod 3) ⇒22150=1150( mod 3) ⇒2300=1(mod 3)

Q: 15. Write the first five terms of the sequence, and explain what the fifth term means in the context…

A: We have to write the first five terms of the sequence, and explain what the fifth term means in the…

Q: Answer the following questions about the sequence an = -2n + n 1. Is the sequence increasing or…

A:

Q: Write the first eight terms of the sequence. 2(an-1 + 2) a1 = 9, a2 45, an %3D %3D %3D an-2

A: Given a1=9, a2=45and…

Q: ADVANCED MATH (No long explanation needed. Rate will be given) TRUE OR FALSE a. A bounded sequence…

A: We can solve this using definition of monotonic ,bounded, and convergent

Q: If the finance charge on a loan made by Marjorie Young is ​$1,670 and the loan is to be paid in…

A: Given If the finance charge on a loan made by Marjorie Young is ​$1,670 remaining payments = 36-26 =…

Q: Q4. What is a15 for the arithmetic sequence with a₁ = 10 and d = 7?

A:

Q: Find G(r) for the sequence 0,0,0,2, -6, 18, -54, ...

A: We have to write Generating function:

Q: No, because the difference between them is r 4. Given the sequence an (n+1), what is a 100

A:

Q: Activity 1: What's My nth Term? Directions: Find the nth term of the given arithmetic sequence: 1.…

A: The nth term of an arithmetic sequence having first term a and common difference d is, tn = a+(n-1)d…

Q: Create the first terms of a sequence using the following recursive definition (see image attached).…

A: We use the given general term of the sequence to find first few terms of the sequence.

Q: sequence

A:

Q: la = 8 and an-1– 4 for n > 2

A: The solution are next step

Q: Q6. What is a11 for the geometric sequence with a₁ = 4 and r = 4?

A: Given,  First term a1=4 and r=4  nth term in geometric sequence an=arn-1 , where a is the first term…

Q: consider the geometric sequence with a = 3 and r= -0.2 write the first four terms and find the…

A: Given- a=3 and r=-0.2 To Find-  The first four terms and find the limiting sum if any . Identity…

Q: 2. Consider the functions f(x) g(x): - = 3x2 when x -10 −6 when x = -6' 3x² + 16x 12 x+6 9-x and…

A: The given functions are  f(x)=3x2+16x-12x+6, g(x)=3x-2when x≠-6-10when x=-6, h(x)=3x-2. (A) To…

Q: Write an explicit formula for the sequence using the first five points shown on the graph. an an 12…

A:

Q: Find the rule for the geometric sequence given below. :3an-1 2-1 and ao an an - = 3.

A: The objective of the question is to find the rule for the given geometric sequence and to find the…