Graduate Management Admission Test (GMAT) Practice Test

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Question: 1 / 50

For a sequence of evenly spaced integers defined by a spacing of 3, how do you find the number of terms?

(Largest - Smallest) / 3

(Largest - Smallest) / (3 + 1)

To determine the number of terms in a sequence of evenly spaced integers with a spacing of 3, the correct approach is to calculate the total difference between the largest and smallest values, divide that difference by the spacing, and then add one to account for the inclusive nature of the count. In this case, the spacing is 3, which indicates that each term in the sequence increases by 3 from the previous term. When you take the difference between the largest and smallest terms (Largest - Smallest), this gives you the total distance covered by the sequence. Dividing this distance by the spacing of 3 gives you the number of intervals between the terms. However, since the numbering starts from the smallest term and includes the largest term, you must add one more to the result. This leads to the formula: Number of terms = (Largest - Smallest) / 3 + 1. This logic supports why the option that involves dividing by (3 + 1) correctly captures the spacing while counting the total number of terms in the sequence. The division by (spacing + 1) aligns with counting how many divisions fit into the interval, and it correctly sets up the sequence to include all terms starting from the smallest term up to

Largest - (Smallest * 3)

(Largest / Smallest) + 3

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