We might choose to write a recursive formula rather than an explicit formula to define a sequence because (D) the sequence is strictly geometric.
<h3>
What is a sequence?</h3>
- A sequence in mathematics is an enumerated collection of items in which repetitions are permitted and order is important. It, like a set, has members (also called elements, or terms).
- The length of the series is defined as the number of items (which could be infinite).
- Unlike a set, the same components can appear numerous times in a sequence at different points, and the order does important.
- Formally, a sequence can be defined as a function from natural numbers (the sequence's places) to the elements at each point.
- The concept of a sequence can be expanded to include an indexed family, which is defined as a function from an index set that may or may not contain integers to another set of elements.
Recursive formulas are commonly used to compute the nth term of a sequence, where a(n) is the sum of all the preceding values.
Using its position, explicit formulas can compute a(n).
Therefore, we might choose to write a recursive formula rather than an explicit formula to define a sequence because (D) the sequence is strictly geometric.
Know more about sequences here:
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-3x - y = -17
4x + 2y = 20
multiply one part of the equation so that we can be able to use the process of elimination.
(-3x - y = -17)2
4x + 2y = 20
Now we have:
-6x -2y = - 34
4x+2y= 20
------------------------
-2x = -14
Divide -2 on both sides.
-2x = -14
/-2 /-2
x = -7.
=============================================
To solve for y, we just have to substitute the value of x to any of the equation given above, that we feel comfortable with. And I'm going to choose this equation: 4x + 2y = 20
4x + 2y = 20
4(-7) + 2y = 20
-28 + 2y = 20
Add 28 on both sides
-28 + 2y = 20
+28 +28
---------------------
2y = 48
/2 /2
y = 24.
The last thing you would do is to check if the answers is correct.
All you have to do is plug in the values of x and y into both equations and see if they equal to one another.
You may have to do this by yourself :P
Anyways, if you have any questions about this topic, feel free to PM me or any other users interested. Thank you for being part of Brainly! Have a nice day!
Answer:
x = 8
y = 14
Step-by-step explanation:
2x + 6 = 4x - 10 (Corresponding angles so they're equal)
2x - 4x = -10 - 6
-2x = -16
x = 8
2x + 6 + 13y - 24 = 180 (Supplementary angles so they add up to 180)
2(8) + 6 + 13y - 24 = 180
16 + 6 + 13y - 24 = 180
13y - 2 = 180
13y = 182
y = 14
Answer:
$233.75
Step-by-step explanation:
2.75 x 15 = 41.25
275 - 41.25 = $233.75
Answer:
-72 X + 14
Step-by-step explanation:
