MATHEMATICS MIDDLE SCHOOL

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

Answer 1
Answer:

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 2
Answer:

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!

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A item cost $470 before tax, and the sales tax is 14.10. Find the sales tax rate. Write your answer as a percentage

Answers

Answer: 3%

Step-by-step explanation: when we multiply the number 470 by .03 and get 14.1 which is the same as 14.10 and this is the answer.

Ten minus One-third of a number is 4

Answers

Ok, so you automatically know that you are subtracting 6 from 10 to get 4. So, in order to figure out how it is 1/3 of that number, it is going to be multiplied by 3, getting 18. So, the number would be 18.

The expression representing the sentence is -

$10-(1)/(3) x = 4.

We have a sentence - "Ten minus One-third of a number is 4".

We have to determine the expression that represents the sentence.

Express the statement - "The difference of x and y is equal to an irrational number" in the form of expression.

The expression representing the above statement is -

x - y = π

According to the question, we have -

Ten minus One-third of a number is 4

Assume the number to be x.

We can write it as a expression -

$10-(1)/(3) x = 4

Hence, the expression representing the sentence is $10-(1)/(3) x = 4

To solve more questions on Expression modelling, visit the link below-

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1/4 to 1/2 find the percent of change-increase or decrease

Answers

The percent of change would be -33.3% which would then equal a 33.3% decrease (when decimal is rounded) 

what I did was turn 1/4 and 1/2 into decimals to make it easier to solve 
It's a decrease 1/4 to 1/2 is a decrease

Look at the pic ALL FOUR. Please.?

Answers

Here is problem 1. Posting Rest in comments

What is the factored form of the polynomial? x²+9x+20

Answers

Answer: (x+4)(x+5)


Step-by-step explanation:

x²+9x+20=(x+4)(x+5)

2x+7y=2 and 4x+2y=-2 using the elimination method

Answers

i hope this helps you
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