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Mademuasel [1]
2 years ago
7

Determine whether the given sequence could be geometric, arithmetic, or neither. If possible identify the common ratio or common

difference 1/2,5/4, 2, 11/4..
Mathematics
1 answer:
miss Akunina [59]2 years ago
7 0

Answer:

It is an Arithmetic sequence

Common difference = 3/4

Step-by-step explanation:

Determine whether the given sequence could be geometric, arithmetic, or neither. If possible identify the common ratio or common difference 1/2,5/4, 2, 11/4..

We are given the sequence:

1/2, 5/4, 2, 11/4.

We are to determine if this is an Arithmetic or Geometric sequence

Hence:

To determine if this is an Arithmetic sequence, we find the Common difference

Common difference = Second term - First term

= 5/4 - 1/2

Lowest Common Denominator = 4

= 5 - 2/4 = 3/4

or Third term - Second term

2 - 5/4

Lowest Common Denominator = 4

2/1 - 5/4

8 - 5/4

= 3/4

We have the same common difference.

To determine if this is an Geometric sequence, we find the Common ratio

Common ratio = Second term / First term

= 5/4 ÷ 1/2

5/4 × 2/1

= 5/2 = 2 1/2

or Third term /Second term

2 ÷ 5/4

2 × 4/5

= 6/5

= 1 1/5

It is not a geometric sequence

Therefore , the above sequence in the Question is an Arithmetic sequence.

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6 0
3 years ago
........................
Alex73 [517]

Answer:

d= 90 degrees

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Step-by-step explanation:

To find d, you know that the other side is equal to 90. Because two sides that are opposite of each other must be equal to 180, you do 180-90 which is 90 to get d. Therefore, d=90 degrees. 99 degrees and e are alternate interior angles so that means they have to be the same. Because f is on the other side of 99 degrees and two sides that are opposite of each other must equal 180 degrees, you have to do 180-99 which is equal to 81 degrees. Therefore, d=90 degrees, e=99 degrees, and f=81 degrees

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Read 2 more answers
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