Question

whats the explicit rule for the sequence 3, -6, 12, -24, 48, ...?

a) \\(a_n = 2(-3)^{n-1}\\)

b) \\(a_n = 3(-2)^{n-1}\\)

c) \\(a_n = 3(2)^{n-1}\\)

d) \\(a_n = 3(-2)^n\\)

question 11 (5 points)
find the 10th term in a sequence whose general term is \\(a_n = n^2 - 8\\).

a) 92

b) 12

c) 113

d) 108

question 12 (5 points)
what are the next 4 terms of the sequence 1, 6, 11...?

a) 18, 26, 35, 45

b) 16, 21, 26, 31

c) 6, 1, -4, -9

d) 15, 19, 23, 27

Explanation:

Determine the explicit rule for the first sequence

$$
LATEXBLOCK0
$$

Calculate the 10th term of the second sequence

$$
LATEXBLOCK1
$$

Find the next 4 terms of the third sequence

$$
LATEXBLOCK2
$$

Answer:

Question 1

• A) \(a_n = 2(-3)^{n-1}\)
• B) \(a_n = 3(-2)^{n-1}\) (Correct answer)
• C) \(a_n = 3(2)^{n-1}\)
• D) \(a_n = 3(-2)^n\)

Question 2

• A) 92 (Correct answer)
• B) 12
• C) 113
• D) 108

Question 3

• A) 18, 26, 35, 45
• B) 16, 21, 26, 31 (Correct answer)
• C) 6, 1, -4, -9
• D) 15, 19, 23, 27