Find an explicit formula for the arithmetic sequence − 45 , − 30 , − 15 , 0 , . . . −45,−30,−15,0,...minus, 45, comma, minus, 30
borishaifa [10]
The explicit formula for given sequence is:
a_n=-60+15n
Step-by-step explanation:
Given sequence is:
− 45 , − 30 , − 15 , 0, ......
The general explicit formula for arithmetic sequence is given by
In the given sequence
So,
d=15
Putting the value of a1 and d in equation
Hence,
The explicit formula for given sequence is:
a_n=-60+15n
Keywords: Arithmetic sequence, Common difference
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Answer:
69
Step-by-step explanation:
Answer: perfect square trinomials
Step-by-step explanation:
Although you don't provide the 4 multiple choice answers, here they are:
a) perfect square monomials
b) difference of terms
c) perfect square trinomials
d) difference of perfect squares
The answer is c) perfect square trinomials, for a perfect square trinomial is a trinomial that can be factored into a binomial multiplied to itself.
In the scenario of a perfect square trinomial, there will be 2 terms that'll be perfect squares. For example, in the trinomial x2 - 12x + 36, both x2 and 36 are perfect squares.
In this case, it is a special product formula because there's a specific formula for them — unlike the other answers.
Graph C. The equation of the line is y=2x+5. 5 is the y-intercept so the line has to go through that point.