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3 years ago

Acellus Find the next term in this arithmetic sequence. 7/2,9/4,1,-1/4,-2/3 ,___

Mathematics

1 answer:

KiRa [710]3 years ago

8 0

Answer:

-11/4

(I think you meant -3/2 not -2/3 at the end there.)

Step-by-step explanation:

If it is arithmetic, it's going up or down by same number.

So we started with 7/2 and went down to 9/4.

If we can find how much it went down, then we can find the next term after -3/2.

Find difference

7/2-9/4

Find common denominator

14/4-9/4

5/4

So we are going down by 5/4 each time.

That means the following equations should ve true:

7/2-5/4=9/4

9/4-5/4=1

1-5/4=-1/4

-1/4-5/4=-3/2

And all of these are in fact true.

The next term in the sequence will be

-3/2-5/4.

Find common denominator

-6/4-5/4

-11/4

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3 years ago

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Answer:

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2 years ago

Hunter started with the following model to show the problem 1 . 45 ÷ 5 1 . 45 ÷ 5 . One 10 by 10 flat, 4 rods of 10 cubes , and

vlada-n [284]

The model Hunter uses makes the division possible given that each

number of digits in a place value are represented by a cube.

The number of hundredth in each division group is D. 9

Reasons:

The model Hunter started to show the problem is as follows;

Number of 10 by 10 flat = 1

Number of rods of 10 cubes = 4

Number of single cubes = 5

The division is 1.45 ÷ 5, which can be expressed as follows;

$\displaystyle \frac{1.45}{5}$

Given that the 5 cubes represent the .05 in 1.45, we have;

1 cube = 0.01

Dividing each of the set by 5 gives, for each of the division group;

10 by 10 flat ÷ 5 = 10 × 2 flat = 20 cubes = 20 × 0.01 = 0.2

4 rods × 10 cubes ÷ 5 = 40 cubes ÷ 5 = 8 cubes = 8 × 0.01 = 0.08

5 cubes ÷ 5 = 1 cube = 1 × 0.01 = 0.01

Therefore, each of the division group is 0.2 + 0.08 + 0.01 = 0.29

The tenths are the digits after the decimal point to the right.

The hundredths are the digits in the second position after the decimal point to the right.

The number of tenths in each group, (0.2) = 2

There are 2 tenths in each group

The number of hundredths in each group, (0.09) = 9

There are 9 hundredths in each group.

Therefore;

The correct response to the question on how many hundredths would be there in each of the division groups is D. 9

Learn more about division and place values here:

brainly.com/question/3060423

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2 years ago

Factor this expression: 12 + 20

liberstina [14]

Answer:

Step-by-step explanation:

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20 = 4 × 5

12 + 20 = 4 × 3 + 4 × 5 = 4 × (3 + 5)

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3 years ago

Acellus Find the next term in this arithmetic sequence. 7/2,9/4,1,-1/4,-2/3 ,___​

Acellus Find the next term in this arithmetic sequence. 7/2,9/4,1,-1/4,-2/3 ,___