Graduate Management Admission Test (GMAT) Practice Test

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For a set where integers are spaced evenly, how would you calculate the total number of terms based on given largest and smallest values?

Use largest divided by smallest
Consider the spacing when calculating the count
Only consider increments of two
Focus solely on the range of integers

The correct answer is: Consider the spacing when calculating the count

To determine the total number of terms in a set of evenly spaced integers, it is essential to consider the spacing between the terms when calculating the count. In a sequence of evenly spaced integers, the difference between consecutive terms, known as the common difference, plays a crucial role in determining how many terms lie between a specified smallest value and a largest value. When given the smallest and largest values, you can calculate the total number of terms using the formula: \[ \text{Number of terms} = \frac{\text{Largest} - \text{Smallest}}{\text{Spacing}} + 1 \] This formula accounts for the spacing, ensuring that all terms between the smallest and largest values are included in the count. Therefore, recognizing how spacing influences the total number of terms allows for accurate calculation, making this approach effective and necessary.