Question 31 of 31beginner🔧 ApplyShort Answer2 marks

The middle number in the sequence of 5 consecutive even numbers is 5p. Express the other four numbers in terms of p.

Correct Answer

Given: Middle number = 5p

Rule: Consecutive even numbers differ by 2

Numbers before middle: 5p - 2, 5p - 4

Numbers after middle: 5p + 2, 5p + 4

Answer: The five consecutive even numbers are 5p - 4, 5p - 2, 5p, 5p + 2, 5p + 4

Exercise: Figure it Out (Section 4) | Q: 9 | (Chapter: Page 22)
For More Understanding

Explanation

The chapter discusses consecutive numbers. For 5 consecutive even numbers with middle number 5p, the numbers increase by 2 each time. Going backward from the middle: 5p - 2, 5p - 4. Going forward from the middle: 5p + 2, 5p + 4. So the sequence is 5p - 4, 5p - 2, 5p, 5p + 2, 5p + 4.

Solution Steps

  1. Middle number = 5p

  2. Consecutive even numbers differ by 2

  3. Two numbers before: 5p - 2, 5p - 4

  4. Two numbers after: 5p + 2, 5p + 4

  5. Sequence: 5p - 4, 5p - 2, 5p, 5p + 2, 5p + 4

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