Answer:
<u>Checkmark:</u>
✓ The sequence is geometric
✓ The recursive formula for the sequence is
; 
✓ The explicit formula for the sequence is 
Step-by-step explanation:
This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by -3 gives the next term.
r = -3

= -2
Substitute the values in the equation:

This is a explicit formula since the next value depends on the position of n (1, 2, 3 .etc)
The recursive formula would be:

Checkmark:
✓ The sequence is geometric
✓ The recursive formula for the sequence is
; 
✓ The explicit formula for the sequence is 
Answer: $4.53
Explanation:
7 dvds cost 31.71 so divide 31.71 by 7
31.71/7 = 4.53
To find x:
use the formula: tan° = opposite/adjacent
tan 61° = x/10
answer: 18.0
other length:
use the formula: cos° = adjacent/hypo
cos 61° = 10/y
answer: 20.6
Answer: (1) 13/20 (2) 8 (3) Yes. They are proportional
<u>Step-by-step explanation:</u>
(1) 13 students take the bus.
33 - 13 = 20 students do not take the bus

(2)

(3)

All of the fractions simplify to the same number so they ARE proportional.
Answer:
A
Step-by-step explanation:
formatting is so bad lol
but yeah its the first one because for independent events, the probably of a and b is the product of both probabilities, just like how 0.3*0.4=0.12