You can see how the difference between two consecutive terms is constantly increasing:
So, for the next terms we'll have to add +9, +11, +13 and so on.
Also, note that is obtained by adding the 2nd odd number to , is obtained by adding the 3rd odd number to , and so on.
So, the recursive formula is
For the explicit formula, recall that the sum of the first n odd numbers is n squared. Taking into account the fact that we're not starting from 1, we have
Answer:
No real solution- Not any of the options anyway
Step-by-step explanation:
So I replaced the x's with the two possible equations and then tried to solve...
2=4+(4x2-4)1/2
2=4+(8-4)1/2
2=4+(4)1/2
2=8(1/2)
2=4 Which is not true
10=4+(4x10-4)1/2
10=4+(40-4)1/2
10=4+36(1/2)
10=40(1/2)
10=20 Which is also not true
Therefore, there is no real solution
<span>2x-1=4(x+1)
Given.
This is the expression you were originally given.
2x-1=4x+4
Distributive Property
You distributed the 4 in the subexpression 4(x + 1) to make 4x + 4
2x=4x+5
Addition or Subtraction Property of Equality
You added 1 to both sides of the equation.
â’2x=5
Addition or Subtraction Property of Equality
You subtracted 4x from both sides of the equation.
x=-5/2
Multiplication or Division Property of Equality
You divided both sides by -2.</span>
Ratio of Cake Donuts to Total Donuts = 15/36
Let, the number of people with Cake donuts = x
Then, 15/36 = x/12
x = 12/36 * 15
x = 1/3 * 15
x = 5
In short, Your Answer would be: 5
Hope this helps!