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What is the common difference in the arithmetic sequence 10, 15, 20, 25? (2023)

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Question: What is the common difference in the arithmetic sequence 10, 15, 20, 25? (2023)

Options:

  1. 5
  2. 10
  3. 15
  4. 20

Correct Answer: 5

Exam Year: 2023

Solution:

The common difference is found by subtracting any two consecutive terms: 15 - 10 = 5.

What is the common difference in the arithmetic sequence 10, 15, 20, 25? (2023)

Practice Questions

Q1
What is the common difference in the arithmetic sequence 10, 15, 20, 25? (2023)
  1. 5
  2. 10
  3. 15
  4. 20

Questions & Step-by-Step Solutions

What is the common difference in the arithmetic sequence 10, 15, 20, 25? (2023)
  • Step 1: Identify the first two terms of the sequence. The first term is 10 and the second term is 15.
  • Step 2: Subtract the first term from the second term to find the common difference. Calculate 15 - 10.
  • Step 3: The result of the subtraction is 5. This is the common difference.
  • Step 4: You can check by subtracting the next pair of terms (20 - 15) and (25 - 20) to confirm the common difference is the same.
  • Arithmetic Sequence – An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.
  • Common Difference – The common difference is the fixed amount added to each term to get the next term in the sequence.
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