Answer: 94.3 meters
Step-by-step explanation:
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.
Well I am going to guess and i don't know if it right but 156.25ml
Answer:
Step-by-step explanation:
Hello, please consider the following.
So this is divisible by 3.
Now, to prove that this is divisible by 9 = 3*3 we need to prove that
is divisible by 3. We will prove it by induction.
Step 1 - for n = 1
4+17=21= 3*7 this is true
Step 2 - we assume this is true for k so 
is divisible by 3
and we check what happens for k+1
is divisible by 3 and
is divisible by 3, by induction hypothesis
So, the sum is divisible by 3.
Step 3 - Conclusion
We just prove that is divisible by 3 for all positive integers n.
Thanks
