The recursive definition for the geometric sequence is given as follows:
<h3>What is a geometric sequence?</h3>
A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:
In which 
is the first term.
The recursive definition of a geometric sequence is given by:
In this problem, we have that the first term and the common ratio are given, respectively, by:
.
Hence the recursive definition is given by:
More can be learned about geometric sequences at brainly.com/question/11847927
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Answer: - 25 < x < 5
Step-by-step explanation:The first thing is to Add 23 to both sides
The equation becomes
4 / x + 10 / < 37 + 23
4/x +10 / < 60
Divide through by 4
/ x +10/ < 15
to remove the modulus sign we have
-15< x + 10 < 15
we then solve one by one
firstly , - 15 < x + 10
subtract 10 from both sides
⇒ - 15 - 10 < x
-25 < x
solving the second part
x + 10 < 15
x < 15 - 10
x < 5
combining the two answers
-25 < x < x
I assume you're looking for the number:
0.5n + 9 = 21
- 9
0.5n = 12
÷ 0.5
n = 24
So the beginning number is 24, hope this helps!
Answer:
A
Step-by-step explanation:
To determine which point is a solution, substitute the x- coordinate into the right side of the inequality and compare it's value to the y- coordinate of the point.
A (0, 2)
2x - 1 = 0 - 1 = - 1 → 2 ≥ - 1 ⇒ (0, 2) is a solution
B (4, 1)
2x - 1 = (2 × 4) - 1 = 8 - 1 = 7 → 1 < 7 ⇒ (4, 1) is not a solution
C (0, - 10)
2x - 1 = 0 - 1 = - 1 → - 10 < - 1 ⇒ (0, - 10) is not a solution
D (4, 2)
2x - 1 = (2 × 4) - 1 = 8 - 1 = 7 → 2 < 7 ⇒ (4, 2) is not a solution
