Answered

Identify and correct the errors and omissions in the following skip counting forward by 50s: $124550, 4300, 4340, 4400, 4500$.

Verified Answer :

  • The outlier \(124550\) is removed as it does not follow the pattern.
  • Starting from \(4300\), we add \(50\) iteratively to determine the correct sequence: \(4300, 4350, 4400, 4450, 4500\).
  • The term \(4340\) is identified as an error (\(4350\) is correct).
  • The term \(4450\) is identified as a missing value in the original sequence.
  • The corrected sequence is \(\boxed{4300, 4350, 4400, 4450, 4500}\).

Explanation

  1. Problem Analysis and Data Verification

The given sequence to analyze is \(124550, 4300, 4340, 4400, 4500\). Our goal is to perform skip-counting forward by 50 starting from \(4300\), identifying errors and omissions in the provided list. A skip-counting sequence by 50 follows the rule \(x_{n+1} = x_n + 50\). The value \(124550\) is clearly unrelated to the range of the other numbers starting at \(4300\).

  1. Generating the Correct Sequence

Starting from the first logical value in the sequence, which is \(4300\), we apply the rule of adding \(50\) to each subsequent term to find the correct progression:

  • First term: \(4300\)
  • Second term: \(4300 + 50 = 4350\)
  • Third term: \(4350 + 50 = 4400\)
  • Fourth term: \(4400 + 50 = 4450\)
  • Fifth term: \(4450 + 50 = 4500\)

The correct sequence should be: \(4300, 4350, 4400, 4450, 4500\).

  1. Identifying Errors and Omissions

Comparing our generated sequence to the user's provided sequence:

  • User's provided terms: \(124550, 4300, 4340, 4400, 4500\)
  • Our correct sequence: \(4300, 4350, 4400, 4450, 4500\)

The errors identified are:

  1. The number \(124550\) is an outlier and does not belong to the sequence.
  2. The term \(4340\) is incorrect and should be \(4350\).
  3. The term \(4450\) is missing between \(4400\) and \(4500\).

Examples

Skip-counting is a fundamental skill for building mental math proficiency and understanding patterns in numbers. For example, if you are stocking shelves in a store where each item box contains exactly 50 units, you would use this pattern to keep track of your inventory: 4300, 4350, 4400, 4450, 4500 units, and so on. Mastering this technique helps in quickly calculating totals and identifying discrepancies when counting large quantities of items.