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galina1969 [7]
2 years ago
13

Write an explicit rule for the geometric sequence:

Mathematics
1 answer:
aalyn [17]2 years ago
4 0

Answer:

I think you would just multiply by -4

Step-by-step explanation:

3 x -4 = -12

-12 x -4 = 48

48 x -4 = -192

Please let me know if I've done anything wrong!

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Find the sum of the first 63 terms of –19, -13, -7 …
boyakko [2]

The Given Sequence is an Arithmetic Sequence with First term = -19

⇒ a = -19

Second term is -13

We know that Common difference is Difference of second term and first term.

⇒ Common Difference (d) = -13 + 19 = 6

We know that Sum of n terms is given by : S_n = \frac{n}{2}(2a + (n - 1)d)

Given n = 63 and we found a = -19 and d = 6

\implies S_6_3 = \frac{63}{2}(2(-19) + (63 - 1)6)

\implies S_6_3 = \frac{63}{2}(-38 + (62)6)

\implies S_6_3 = \frac{63}{2}(-38 + 372)

\implies S_6_3 = \frac{63}{2}(-38 + 372)

\implies S_6_3 = \frac{63}{2}(334)

\implies S_6_3 = {63}(167) = 10521

The Sum of First 63 terms is 10521

4 0
2 years ago
Lincoln Junior High School asked all of their eighth grade students the question, “What is your favorite breakfast?” and 18 perc
Rufina [12.5K]

Answer:

I hope this image and explanation helps you!

Step-by-step explanation:

All students in the eighth grade were surveyed, so we can make the valid conclusion that 18% of all students in the eighth grade at Lincoln Junior High School have pancakes as their favorite breakfast.

However, the question did not ask about the students' favorite meal of the day, so we cannot draw any valid conclusions about the students' favorite meal.

The valid conclusion:

18% of all students in the eighth grade at Lincoln Junior High School have pancakes as their favorite breakfast, but we cannot conclude anything about the percent of the population who have breakfast as their favorite meal.

5 0
2 years ago
Radium-226, an isotope of radium, has a half-life of 1,601 years. Suppose your chemistry teacher has a 50-gram sample of radium-
Sholpan [36]
We know that
Half-life is modeled by the formula
An=A0*(0.5)<span>^[t/h)]
where
An----------> </span>is the amount remaining after a time t
A0----------> is the initial quantity
t------------> is the time
h------------> is the half-life of the decaying quantity

in this problem
h=1601 years
A0=50 g
An=?
t=100 years
An=A0*(0.5)^[t/h)]---------> An=50*(0.5)^[100/1601)]-----> 47.88 gr

the answer is 47.88 g
6 0
1 year ago
Read 2 more answers
Imani is flying a drone. It takes off from a height of 24 feet above the ground and rises at a constant rate of 4.5 feet per sec
Firdavs [7]

Answer:

It will take 73 seconds.

6 0
1 year ago
Read 2 more answers
(b) we often read that iq scores for large populations are centered at 100. what percent of these 78 students have scores above
ss7ja [257]
As IQ scores for extensive populaces are focused at 100, the mean = 100. 
There ought to be around half scores above or underneath the mean score since mean and middle is about a similar when the populace is substantial. 
P(x > 100) = P( z> (100 - 100)/sd ) = P(z > 0)= 0.5 
The number of the student who has scored over 100 = 0.5 x 78 = 39 Therefore the answer is 39 students. 
4 0
1 year ago
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