The sum of 5 consecutive even numbers is 250. What is the fourth number in this sequence?
1 answer:
Answer:
Our fourth number is 52.
Step-by-step explanation:
Let our first even number be <em>x</em>.
Then the second even number must be (<em>x</em> + 2), the third (<em>x</em> + 4), fourth (<em>x</em> + 6), and the fifth (<em>x </em>+ 8).
They sum to 250. Hence:
Solve for <em>x</em>. Combine like terms:
Subtract 20 from both sides:
And divide both sides by five. Hence:
Thus, our sequence is 46, 48, 50, 52, and 54.
Hence, our fourth number is 52.
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Using the Fundamental Counting Theorem, it is found that 60 different possible student council teams could be elected from these students.
<h3>What is the Fundamental Counting Theorem?</h3>It is a theorem that states that if there are n things, each with ways to be done, each thing independent of the other, the number of ways they can be done is:
Considering the number of options for president, vice president, treasurer and secretary the parameters are:
n1 = 5, n2 = 2, n3 = 2, n4 = 3.
Hence the number of different teams is:
N = 5 x 2 x 2 x 3 = 60.
More can be learned about the Fundamental Counting Theorem at brainly.com/question/24314866
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