Answer :
Answer:
Each term in the second sequence is double the corresponding term in the first sequence.
Step-by-step explanation:
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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.
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