Math Problem Statement

Observe how the frog jumps. Calculate and fill in the blanks for the sequence.

Solution

The exercise appears to involve a number sequence where a frog is jumping across a series of positions labeled with numbers, and you are tasked with calculating and filling in the missing values based on its jumps.

a)

  • The frog starts at position 5 and jumps backward by 1 (to 4).
  • Then it jumps forward by 4 (to 0).
  • After that, it jumps backward by 2 (to 2).
  • Finally, it jumps forward by 2 (to 4), then backward by 1 (to 3).

Thus, for part (a), the missing numbers are:

  • First blank: 3

b)

  • The frog starts at position 5 and jumps backward by 1 (to 4).
  • Then it jumps forward by 4 (to 0).
  • After that, it jumps backward by 3 (to 3).
  • Finally, it jumps forward by 1 (to 0), then backward by 1 (to -1).

Thus, for part (b), the missing numbers are:

  • First blank: -1

Would you like more details or have any questions?

Here are 5 questions to expand the learning:

  1. What pattern can be identified from the frog’s jumps in each exercise?
  2. Can you predict the frog’s next jump if the pattern continues?
  3. How does the direction of the jump (forward/backward) affect the sequence?
  4. How would you apply this sequence pattern to a larger number line?
  5. Can you find a mathematical formula to describe the frog's movements?

Tip: When dealing with number lines, always pay attention to the direction (positive or negative) of jumps, as this will guide the pattern in a sequence.

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Math Problem Analysis

Mathematical Concepts

Number Sequences
Arithmetic Progression

Formulas

Difference between consecutive numbers
Step calculation for jumps

Theorems

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Suitable Grade Level

Grades 2-4