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Sums - Series of Integers M to N - Equation to Sum (Level 1)

This math topic focuses on calculating the sum of integers within a specified range using a formula. The problems require determining the sum of consecutive integers from a given lower bound \( M \) to an upper bound \( N \), using an equation in LaTeX format. The equations incorporate the method of summing the first \( N \) integers and subtracting the sum of the first \( M-1 \) integers, leveraging the properties of arithmetic sequences. Students practice these skills through multiple-choice questions, each offering different numeric options as potential answers.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

Sums - Series of Integers M to N - Equation to Sum

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.

What is the sum of the integers from 4 to 10 based on this equation?

10(10+1)2−(4−1)42\frac{10(10+1)}{2} - \frac{(4-1)4}{2}