Answer:
b(n) = -23 + 18n
Step-by-step explanation:
NOTE - This is an arithmetic sequence, so each number is increasing by addition. If you were in a geometric sequence, however, you'd be multiplying. This means that the explicit formula for the geometric sequence you'll be learning later on will be different.
The formula for explicit formula is b(n)=b(1)+d(n-1). The variable d represents the common difference and the a is whatever number of the term you are using.
Since you have b(1), you look at what your first term is. Plug -5 into a(1).
To find your common difference, find 13-(-5). This is 18, and adding it to the others you can see that it continues.
So, plugging in what you have so far it looks like b(n) = -5 + 18(n - 1)
All we need to do now is simplify.
1. Distribute: -5 + 18n - 18
2. Add like terms: -23 + 18n
Hope this helped and made sense lol.
Since 9 is 3², each digit in base nine takes two digits in base 3.
2₉ = 02₃
6₉ = 20₃
7₉ = 21₃
1₉ = 01₃
Putting it together
2671₉ = 2202101₃
a. define variables for the quantities that are changing (be specific).
We define variables:
t = time in second
d = distance traveled
The variables that are changing are t and d.
As the time increases, the distance decreases.
b. what does it mean to say bob walks at a constant speed of 9.3 feet per second?
It means that for every second that passes, Bob walks 9.3 feet.
c. consider the formula d = 4320 - 9.3t i. what does t represent? ii. what does 9.3t represent? iii. what does d represent?
For this case we have:
t = represents the time in seconds
9.3t = represents the distance traveled by Bob
d = represents the distance Bob must travel to get to the bus stop.
2.875 would be the answer
-4/10+5/10
=5/10-4/10
=1/10
