Write the following Arithmetic sequence using an Explicit Formula: a1 = 8, an = an-1 -2
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Answer:
100, 102, 104
Step-by-step explanation:
Hi there!
Let <em>x</em> be equal to the first number in the set of the three consecutive even numbers.
We're given that the sum of three consecutive even numbers is 306.
Because <em>x</em> is the first number, the next would be <em>x</em>+2, and then <em>x</em>+4. These are our even numbers.
We can now set up an equation:
Combine like terms:
Therefore, the first number in the set of 3 numbers is 100.
The next two even numbers after 100 is 102 and 104.
Therefore, the three numbers are 100, 102 and 104.
I hope this helps!
