Answer:
-1.81 is the least and 1 3/4 is the greatest
Step-by-step explanation:
1 3/4 is also 1.75 -1 4/5 is also -1.8
Ordered from least to greatest:
-1.81, - 1 4/5, -1.3, 1 3/4
8, 10, 12
A helpful equation:
x+x+1+x+2 = 30
Combine like terms
3x + 3 = 30
Subtract 3 from each side
3x = 27
Divide each side by to isolate x
x = 9
x = 9. However, 9 is not an even number. Let’s subtract 1 from 9 to get the first even number.
The first number is 8. The best two even numbers after 8 are 10 and 12.
8 + 10 + 12 = 30, thus this is the sequence.
Given
- f(n) values for n=1,2,3,4
- possible candidates for the function
Solution:
Method: Evaluate some of the values, for each function. A function with ANY value not matching the given f(n) values will be rejected.
N=1, f(n)=4
f(1)=4-3(1-1)=4
f(1)=4+3^(1+1)=4+3^2=4+9=13 ≠ 4 [rejected]
f(1)=4(3^(n-1))=4(3^0)=4
f(1)=3(4^(n-1))=3(4^0)=3*1=3 [rejected]
N=2, f(n)=12
f(1)=4-3(2-1)=4-3(1)=1 ≠ 12 [rejected]
[rejected]
f(1)=4(3^(2-1)=4*3^1=4*3=12
[rejected]
Will need to check one more to be sure
N=3, f(n)=3
[rejected]
[rejected]
f(3)=4(3^(n-1))=4(3^(3-1))=4(3^2)=4*9=36 [Good]
[rejected]
Solution: f(n)=4(3^(n-1))
Answer:
The variable is n
The coefficient is 2
And the solution to n is 10.
Step-by-step explanation:
The number in the equation is the variable. The coefficient is the number before the variable. And a number next to a letter means you multiply. So 2*5=10 10-3=7
Let's represent the numbers by : x, x+1, x+2, x+3
x+x+1+x+2+x+3=40 The third number in the sequence is x+2
4x+6=40 8.5+2=10.5
4x+6-6=40-6 Therefore the third number in the sequence is
4x=34 10.5
4x/4=34/4
x=8.5
