The explicit formula for the geometric sequence
is

Step-by-step explanation:
The formula of the nth term of a geometric sequence is
, where:
- a is the first term of the sequence
- r is the common ratio between the consecutive terms
The geometric sequence of
is 6 , -2 ,
,
, 
∵
= 6
∵ 
∵
= -2
∴ 
- Divide both term by 2 to simplify it
∴ 
∵ 
- Substitute the value of
and r in the rule above
∴ 
The explicit formula for the geometric sequence
is

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Answer:
a. Discrete
b.Continuous
Step-by-step explanation:
a. A discrete random variable has a countable number of possible values.
-The probability of each value of a discrete random variable is between 0 and 1, and the sum of all the probabilities is equal to 1.
-The number of free dash throw attempts are countable. Hence, a Discrete Random Variable.
b. -A continuous random variable is a random variable where the data can take infinitely many values.
-A continuous random variable is a random variable is qualitative in nature.
-The amount of rainfall will take different values in different April months. Hence Continuous Random Variable.
Answer:
Option C.
Step-by-step explanation:
From the given figure it is clear that
So,
Using Intersecting Secants Theorem, we get
Divide both sides by 4.
Since, x = 11; PR = 12; PT = 15, therefore the correct option is C.
Answer:
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)
The equation of the given line p is
y = x - 1
Comparing with the slope intercept form, slope = 1
If two lines are parallel, it means that they have the same slope. Therefore, the slope of line q passing through (- 2, 8) is 1
To determine the y intercept, we would substitute m = 1, x = - 2 and
y = 8 into y = mx + c. It becomes
8 = 1 × - 2 + c
8 = - 2 + c
c = 8 + 2 = 10
The equation becomes
y = x + 10