The first four terms of the sequence that follows the rule is 2, -1, 5 and -7
<h3>What is an
equation? </h3>
An equation is an expression that shows the relationship between two or more numbers and variables. An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.
A sequence of numbers follows the rule: multiply the previous number by -2 and add 3. Let a represent the third term, hence if the 4th term is -7:
-7 = -2a + 3
a = 5
Let b represent the second term, hence:
5 = -2b + 3
b = -1
Let c represent the first term, hence:
-1 = -2c + 3
c = 2
The first four terms of the sequence that follows the rule is 2, -1, 5 and -7
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1/3 chances the bubblegum is blue. To solve this problem you add all of the bubblegum together so 25+20+15 to get 60 then express it as a fraction to show only the blue pieces which would be 20/60 and you can simplify it to 1/3 or 33.33%
First you have to put like terms together:
bf+af+be+ae
Now you factor the first two terms and then the two last terms:
f(b+a)+e(b+a)
Now you factor even further. By putting what is in parentheses by what is outside the parentheses:
(b+a)(f+e)
What you got is correct as mine is too. I hope this formula helps for future problems:
ax+bx+ac+bc=x(a+b)+c(a+b)
=(a+b)(x+c)