Count Forwards And Backwards In Steps Of Power 4 - Reasoning

Malachi has been analysing a numerical sequence and proposes a solution for identifying the first term of the sequence. He observes the last five numbers: 10,032, 11,032, 12,032, 13,032, and 14,032. Noting that there is a consistent increase of 1,000 between each term, he concludes that the sequence contains ten terms in total. To find the first term, Malachi subtracts 5,000 from the sixth term, which is 10,032, resulting in his answer of 5,032 for the first term.

Upon examination, Malachi's reasoning is correct. Since the sequence increases by 1,000 with each term and there are ten terms, the difference between the first and sixth terms would indeed be 5,000 (5 terms x 1,000). Therefore, subtracting 5,000 from the sixth term, 10,032, accurately yields the first term of the sequence as 5,032. This logical approach confirms that Malachi's understanding of the sequence and his method for calculating the first term are both correct.