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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Answer:
The number is -2
Step-by-step explanation:
Let the number = x
Given that:
Five times the result of adding one to a certain number, is equal to four times the number, plus three.
The equation will be:
5(x+1) = 4x +3
Simplifying
5x + 5 = 4x +3
Taking terms with x on left side and others on right side
5x - 4x = 3 - 5 (sign of transferred terms will be changed)
x = -2
Proof :
Condition 1:
- Add one = -2 +1 = -1
- Multiply 5 = -5
Condition 2:
- 4 times of number = 4 (-2) = -8
- Add 3 = -8 +3 = -5
Hence both conditions have same answer.
I hope it will help you!
Answer:
20
Step-by-step explanation:
sin(28) sin(x)
---------- = -----------
7 5
sin(28)* 5 = 7sin(x)
---------------------------
7
sin(28) * 5
---------------- = sin(x)
7
You have to seperate sin from (x). When you do that, it becomes inverse (sin^-1).
sin(28) * 5
sin^-1 (------------------) = x
7
Imput that into you calculator, and you should get 19.59302173 (20 to the nearest degree)
Hope this helps.
Answer:
136 in
Step-by-step explanation:
Area = 1,156 in² = side x side
Side = √1,156 = 34 in
Perimeter = 4 x side = 4 x 34 = 136 in
Answer:
See the attachment
Step-by-step explanation:
It is convenient to use a spreadsheet or graphing calculator for this.
