Answer:
a,d,e and f.
Step-by-step explanation:
hope this helps!
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Answer:
Step-by-step explanation:
The first differences of the sequence are ...
- 5-2 = 3
- 10-5 = 5
- 17-10 = 7
- 26-17 = 9
- 37-26 = 11
Second differences are ...
- 5 -3 = 2
- 7 -5 = 2
- 9 -7 = 2
- 11 -9 = 2
The second differences are constant, so the sequence can be described by a second-degree polynomial.
We can write and solve three equations for the coefficients of the polynomial. Let's define the polynomial for the sequence as ...
f(n) = an^2 + bn + c
Then the first three terms of the sequence are ...
- f(1) = 2 = a·1^2 + b·1 + c
- f(2) = 5 = a·2^2 +b·2 + c
- f(3) = 10 = a·3^2 +b·3 +c
Subtracting the first equation from the other two gives ...
3a +b = 3
8a +2b = 8
Subtracting the first of these from half the second gives ...
(4a +b) -(3a +b) = (4) -(3)
a = 1 . . . . . simplify
Substituting into the first of the 2-term equations, we get ...
3·1 +b = 3
b = 0
And substituting the values for a and b into the equation for f(1), we have ...
1·1 + 0 + c = 2
c = 1
So, the formula for the sequence is ...
f(n) = n^2 + 1
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The 20th term is f(20):
f(20) = 20^2 +1 = 401
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<em>Comment on the solution</em>
It looks like this matches the solution of the "worked example" on your problem page.
Answer:
Your brother gets $16 and you get $8.
Step-by-step explanation:
first of all what is 16+8=24
first step..i started from 2 and did twice of that wich is 4 but that only got $6
second step.... just keep doing your multiples....
third step....as soon as i got to the number 8 i did twice of that and i got 16 then i added those and i got $24
and that is your answer.
Answer:
Step-by-step explanation:
From the question we are told that
Architect Measures 2.5 feet (using the Brussels measurement)
Generally in Brussels
Therefore
Generally in Aalst
Therefore Mathematically converting to feet in Aalst measurement we get
Answer:
4x(x+2)
Step-by-step explanation: