The value of x in the geometric sequence is -3.
Option (A) is correct.
To find the value of x.
<h3>What is geometric progression?</h3>
A progression of numbers with a constant ratio between each number and the one before .A geometric progression is a sequence in which any element after the first is obtained by multiplying the preceding element by a constant called the common ratio which is denoted by r. For example, the sequence 1, 2, 4, 8, 16, 32… is a geometric sequence with a common ratio of r = 2.
Given that:
The geometric sequence are x, 3, -1/3.......
Let x = a be the first term
3 = a*r = x *r , is second term
r is the common ratio,
r =3/x
- 1/3 = ar^2 = x r^2
substitute r, and solve for x:
-1/3 = x*3*3/x*x
cancel out the x term from numerator and denominator we have,
-1/3=9/x
By cross multiplication,
x=-9/3
By simplifies
x=-3
first term is x = -3
So, the value of x in the geometric sequence is -3.
Learn more about geometric progression here:
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Answer:
b
Step-by-step explanation:
I think its b I'm not sure but let me know if its wrong so I can improve
Answer:
B
Step-by-step explanation:
The arrow is going left four units. Since it's going left, we know that we are adding a negative number and since it's going left 4 units, we know that we are adding -4 in our equation. This narrows it down to options B and D. However, the arrow usually represents the second number being added, hence, the answer is B.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the equation:
s = 10│x - 4│+ 50
Where s = sound level in decibels
x = number of measures of music played
Step 1:
Subtract 50 from Both sides
s - 50 = 10│x - 4│+ 50 - 50
s - 50 = 10│x - 4│
For s = 80
80 - 50 = 10│x - 4│
30 = 10│x - 4│
Clear the absolute value sign
± 30 = 10x - 40
Hence ;
Lower value :
- 30 + 40 = 10x
10 = 10x
x = 1
Upper value :
+30 + 40 = 10x
70 = 10x
x = 7
Answer:
.625
Step-by-step explanation:
The decimal .625 is equivalent to 5/8 because when you divide .50 by 8 you get .625 and it is terminating because it does not repeat.
