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:

Explanation:
This is an exponential growing: there is a constant growing<em> factor </em>which multiplies the value number of letters sent every week.
The growing factor <em>4 letters every 9.1 weeks</em> means that every 9.1 weeks the number of letters is multiplied by 4.
Then, if the number of weeks is t, the number of times the number of letters increase is t/9.1.
Then, the exponential<em> function</em> <em>that models the number of people who receive the email t weeks since Tobias initially sent the chain letter</em>, has the form:

<em>Tobias initially sent the chain letter to 37 friends</em>; thus, the initial value is 37, and the complete function is:
, where t is the number of weeks since Tobias initially sent the chain letter.
False. This number can be written as a fraction,
Answer:
There are 20 kids total in the class.
Step-by-step explanation:
15/100 × 20 = 3
You can use direct proportion for any percent calculation.
Compare each number with its percent.
3 i
s 15
% of what number? Let the number be x
So, 3 represents 15
% and x represents 100
%
x/
100
= 3/15
Multiply by 100 to isolate x
x = 
x = 20
Check: 15/
100 × 20 = 3