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HELPPPPPPPP 5TH GRADE MATH Select the statement that correctly describes the relationship between these two sequences: 1, 2, 3, 4, 5 and 10, 20, 30, 40, 50.

Each term in the second sequence is 10 times the corresponding term in the first sequence.
Each term in the second sequence is double the corresponding term in the first sequence.
Each term in the second sequence is 20 times the corresponding term in the first sequence.
Each term in the first sequence is double the corresponding term in the second sequence.

Sagot :

Answer:

Each term in the second sequence is double the corresponding term in the first sequence.

Step-by-step explanation:

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Eduard22sly

The correct statement that describe the two sequences is:

Each term in the second sequence is 10 times the corresponding term in the first sequence.

What is an arithmetic sequence?

This is a type of sequence which have common difference between each term. It is represent mathematically as:

Tₙ = a + (n – 1)d

Where

Tₙ is the nth term

a is the first term

n is the number of terms

d is the common difference

How to determine the relationship between the sequences

  • Sequence 1: 1, 2, 3, 4, 5
  • Sequence 2: 10, 20, 30, 40, 50
  • Relationship =?

Relationship = sequence 2 / sequence 1

For the 1st term

  • Sequence 1 = 1
  • Sequence 2 = 10
  • Relationship =?

Relationship = sequence 2 / sequence 1

Sequence 2 / sequence 1 = 10 / 1

Cross multiply

Sequence 2 = 10 × sequence 1

For the 2nd term

  • Sequence 1 = 2
  • Sequence 2 = 20
  • Relationship =?

Relationship = sequence 2 / sequence 1

Sequence 2 / sequence 1 = 20 / 2

Sequence 2 / sequence 1 = 10 / 1

Cross multiply

Sequence 2 = 10 × sequence 1

If we continue with the pattern above, we'll discovered that

Sequence 2 = 10 × sequence 1

Thus, we can conclude that:

Each term in the second sequence is 10 times the corresponding term in the first sequence.

Learn more about arithmetic sequence:

https://brainly.com/question/16130064

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