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: Calculate the required term for the sequence with the following given: a1 = 4 , r=6 , a10 =?

A: If a, ar, ar2, ar3, ... are in geometric sequence with first term a1= a and common ratio r then the…

Q: (1 point) Find a formula for the general term a, of the arithmetic sequence (starting with a1): {4,…

A: a1=4 a2=-2 a3=-8 a4=-11 Note that commond difference d=-6

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: 1. The general formula for a sequence is t = 3t₁ - ₁ - n, where t₁ = 3 Find the fourth term.

A:

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: Write out the first four terms of the sequence and determine whether the sequence is converging. 1…

A:

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: To 0 28) 0 0 0 Lo o 0 29) 2 o 8/17 0 -15/17 1 30) 1 0 15/17 0 8/17

A: To check if a given matrix is orthogonal, first find the transpose of that matrix. Then, multiply…

Q: Find the 10th term of the arithmetic sequence in which a1=12 and d = 9.1.

A: It is given that, a1=12d=9.1   It is known that nth term of arithmetic sequence can be found  by…

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

A: We have to write Generating function:

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: 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: an-1. 9. A sequence is defined by the rule a, = a = 20. Find the value of a, . +n with i=1

A: We have to find the sum of sequence

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…