The recursive formula of the explicit rule an = (n + 1)² is
where a1 = 4
<h3>How to determine the recursive formula?</h3>
The explicit formula is given as:
an = (n + 1)²
This means that:
a1 = (1 + 1)² = 4
a₂ = (2 + 1)² = 9
a₃ = (3 + 1)² = 16
Rewrite as:
a₂ = 4 + 2 * 2 + 1 = 9
a₃ = 9 + 2 * 3 + 1 = 16
Substitute a₂ = 9
a₃ = a₂ + 2 * 3 + 1 = 16
Express 2 as 3 - 1
a₃ = a₃₋₁ + 2 * 3 + 1
Express 3 as n

Evaluate the product

Hence, the recursive formula of the explicit rule an = (n + 1)² is
where a1 = 4
Read more about explicit rules at:
brainly.com/question/1275192
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Answer:
x < -4 ∪ x > 4
Step-by-step explanation:
The absolute value function is shifted down 3 units. The solution space is values of x where y = |x|-3 is greater than 1. The solution is shown in red in the attachments, and the left and right (dashed) sides of the inequality are shown in blue.
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I personally prefer to rewrite the inequality so the comparison is to <em>zero</em>. That is done in the second attachment, which rewrites it to ...
|x| -4 > 0
by subtracting 1 from both sides. It is often easier to read the values of x-intercepts than it is to read the coordinate values where lines cross each other.
Since the slope intercept form formula is y=Mx+b, your slope will be 3 and your starting point will be 0 because there’s no b. Mx is your slope and b is your y intercept.
Step-by-step explanation:
To find the area of a triangle where you know the x and y coordinates of the three vertices, you'll need to use the coordinate geometry formula: area = the absolute value of Ax(By - Cy) + Bx(Cy - Ay) + Cx(Ay - By) divided by 2. This can help you do it.
5% X
100. 15. Cross multiply
5×15=75. 100×X=100X
÷ ÷
100=7.5. 100=1
15.00
- 7.50. X=8.50$ sale price i
8 .50. is $8.50