Hey can anyone help me with this question please and thank you
1 answer:
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The explicit rule for the arithmetic sequence for the sequence is a(n) = 3n + 2.
<h3>What is a sequence?</h3>It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
We have given:
and
The above expression represents the common ratio:
d = 3
First term:
a = 5
The explicit rule for the arithmetic sequence:
a(n) = 5 + (n - 1)3
a(n) = 3n + 2
Thus, the explicit rule for the arithmetic sequence for the sequence is a(n) = 3n + 2.
Learn more about the sequence here:
#SPJ1
Answer: a = -3
Explanations:
The given equation is:
This can be re-written as:
Collect like terms:
Cross multiply:
To verify if the solution is correct, substitute a = -3 into the question given. If the Right Hand Side equals the Left Hand Side, then the solution is correct.
Since the Left Hand Side = Right Hand Side = 7, the solution a = -3 is correct