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jeka57 [31]
3 years ago
10

I PROMISE BRAINLIST; 5-STARS; THANKS!! IT'S VERY SIMPLE; BELIEVE ME!!!!!

Mathematics
1 answer:
DochEvi [55]3 years ago
7 0

Answer:

2. B

3. C

4. B

5. D

Step-by-step explanation:

2) The sequence is multiplying by -2 each time. This means that it is geometric.

The next two terms would be:

32*-2=-64\\-64*-2=128\\128*-2=-256

This means that the answer is B

3) The sequence is being multiplied by \frac{1}{3} each time. This means that it is geometric.

The next 3 terms would be:

3*\frac{1}{3} =1 \\\\1*\frac{1}{3} =\frac{1}{3} \\\\\frac{1}{3} *\frac{1}{3} =\frac{1}{9}

I am assuming that the answer is C and that you were unable to type the fractions.

4) We know that the common difference is 1.5, so that is the coefficient of our variable and the starting value is 15. This means that we can write an equation as follows

f(x)=1.5(x-1)+15

Now we can find the first 4 terms

f(1)=15.0\\f(2)=16.5\\f(3)=18.0\\f(4)=19.5

This would mean that the answer is B

5) We know that this is a geometric series, we know the common ratio, and we know the first term. This means we can write the equation as follows

f(x)=4.5(10)^{x-1}

Now we can find the first 4 terms

f(1)=4.5\\f(2)=45\\f(3)=450\\f(4)=4500

Unless you meant that the ratio was \frac{1}{10}, the answer is D, none of the above

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3. Consider the sequence,-8, -5, -2, 1, ...
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Answer:

a) a_n=3\,n-11

b) a_{20}=49

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Step-by-step explanation:

a)

The sequence seems to be arithmetic, and with common difference d = 3.

Notice that when you add 3 units to the first term (-80, you get :

-8 + 3 = -5

and then -5 + 3 = -2 which is the third term.

Then, we can use the general form for the nth term of an arithmetic sequence to find its simplified form:

a_n=a_1+(n-1)\,d

That in our case would give:

a_n=-8+(n-1)\,(3)\\a_n=-8+3\,n-3\\a_n=3n-11

b)

Therefore, the term number 20 can be calculated from it:

a_{20}=3\,(20)-11=60-11=49

c) in order to find which term renders 20, we use the general form we found in step a):

a_n=3\,n-11\\40=3\,n-11\\40+11=3\,n\\51=3\,n\\n=\frac{51}{3} =17

so term number 17 is the one that renders a value of 40

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Step-by-step explanation:

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