Start at 12 create a pattern that multiplies each number by 4

Answers

Answer 1

Answer: So,

Basically, you're asking us to start a pattern with 12 and multiply it for every subsequent term.
12, 12 * 4, 12 * 4^2, 12 * 4^3, ...
12, 48, 192, 384, ...

So the geometric sequence will look like this:

$12 * 4^(n-1)$

A geometric sequence is a sequence where the next terms are found by performing multiplication or division. In this case, we are multiplying by 4. This is opposed to an arithmetic sequence, where we are adding or subtracting.

To show that this geometric sequence works, let's try to find a few terms. To find the nth term, you just have to plug in the number of the term into the expression for n.

For instance, find the first term. This is the resulting expression:
$12*4^(1-1)=12*4^0=12*1=12$

Let's try a few more terms. The 2nd term:
$12 * 4^(2-1) = 12*4^1=12*4=48$

The 3rd term:
$12 * 4^(3-1) = 12*4^2=12*16=192$

And that's how the geometric sequence works.

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Ms.stoner purchased a new computer for $1,150 at the Apple Store.if sales tax is 7.5%,what was the total of her purchase?

Answers

There is an additional 7.5% added to her purchase.
$1,150(1)+$1,150(7.5%) = [factor] $1,150(100%+7.5%) = $1,150(107.5%)= $1,150(1.075) =$1236.25

Answer:

Total=$1236.25

Step-by-step explanation:

What is the next term in the sequence below?648, 108, 18, 3, . . .

A. 0.5
B. 1.5
C. 1.75
D. 2.5

Answers

The next term or the fifth term of the geometric sequence is 0.5. The option A is the correct option.

What is geometric sequence?

Geometric sequence is the sequence in which the next term is obtained by multiplying the previous term with the same number for the whole series.

It can be given as,

$a_n=ar^(n-1)$

Here, (a) is the first term of the sequence and (r) is the common ratio.

The sequence given in the problem is,

648, 108, 18, 3, . . . and so on.

The common ratio between the two terns is,

$r=(648)/(108)=6\nr=(108)/(18)=6\nr=(18)/(3)=6\n$ \

Thus, the common ratio of the geometric series is 6.

The first term is 648 and the common ratio is 6. Thus the next or fifth term of the sequence is,

$a_5=(648)((1)/(6))^(5-1)\na_5=(648)((1)/(6))^(4)\na_5=0.5$

Hence, the next term or the fifth term of the geometric sequence is 0.5. The option A is the correct option.

Learn more about the geometric sequence here;

brainly.com/question/1509142

Answer:

To get from one term of this sequence to the next, divide by 6.

So, once we get to three, the next term will be 0.5 because 3/6 = 0.5

Let me know if this helps!

The energy released by metabolism of 1 average candy bar is 1 x 10^6 joules. The energy needed for 1 hour of running for an adult is 4.5 x 10^6 joules. Use this information to determine how many average candy bars an adult would have to eat to supply the energy needed for seven hours of running.

Answers

Answer: 32

Step-by-step explanation:

Given: The energy needed for 1 hour of running for an adult $=4.5*10^6\ joules.$

Therefore. the energy needed for seven hours of running= $=7*4.5*10^6\ joules.=31.5*10^6\ joules$

Since, he energy released by metabolism of 1 average candy bar $=1*10^6\ joules.$

Therefore, the number of candy bars an adult need to eat to supply the energy needed for seven hours of running.= $(31.5*10^6)/(1*10^6)=31.5\approx32$