Solution = 2(-3)^2 + 9
= 18 + 9
= 27
i am a mathematics teacher. if anything to ask please pm me
Answer: See explanation
Step-by-step explanation:
We are informed that we should write a equation that represents the expression "Ali writes the expression "half of the sum of $9 and a number.".
Let the number be represented by x. The first equation based on the information given will be:
= 1/2(9 + x)
The second equation will be:
= (9 + x)/2
= 4.5 + 0.5x
So you are given a recursive series, which is an equation that writes itself. Now we want to create a explicit rule. Explicit rule is a pattern that uses our first term and add our common difference. So it gives us our first term.
Lets find the second term of the recursive series.
a_2 = -3 +7 = 4
So it is increasing by 7
So our explicit rule is:
a_n = -3 + 7(n-1)
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