Question

question 19 (5 points)
given the recursive formula below, what are the first 4 terms of the sequence?
\\( f(n) = \

$$\begin{cases} f(1) = 17 \\\\ f(n) = f(n-1) - 2 \\text{ if } n > 1 \\end{cases}$$

\\)

a) 17, 15, 13, 11
b) 17, -6, -3, 0
c) 17, 19, 21, 23
d) 17, 13, 9, 5

question 20 (5 points)
find the sum of \\( \sum_{k=0}^{3} k^2 \\).

a) 14
b) 12
c) 15
d) 13

Explanation:

Evaluate the first four terms of the recursive sequence

$$
LATEXBLOCK0
$$

Expand and calculate the sigma notation sum

$$
LATEXBLOCK1
$$

Answer:

Question 19

• (A) 17, 15, 13, 11 (Correct answer)
• (B) 17, -6, -3, 0
• (C) 17, 19, 21, 23
• (D) 17, 13, 9, 5

Question 20

• (A) 14 (Correct answer)
• (B) 12
• (C) 15
• (D) 13