Mathematics Grade 6 15 min

Partial sums of arithmetic series

Partial sums of arithmetic series

What you'll learn

  • Apply the formula for the sum of a finite arithmetic series to solve for the partial sum, number of terms, first term, or common difference, given at least three of these values, with 80% accuracy on a summative assessment.
  • Explain the relationship between the arithmetic mean and the formula for the sum of a finite arithmetic series, providing a coherent written explanation supported by mathematical justification.
  • Solve real-world problems involving arithmetic series by identifying the first term, common difference, and number of terms, and then calculating the partial sum with 90% accuracy.
  • Identify the first term, common difference, and number of terms in a given arithmetic series, and express them using correct mathematical notation.

Tutorial Preview

1

Find the sum of 1 + 2 + ... + 10.

2

Find the sum of 1 + 2 + ... + 9.

3

Find the sum of 5 + 6 + 7 + 8.

Sample Practice Questions

Easy
What is the sum of all whole numbers from 1 to 8?
0.36
1.32
2.40
3.28
Easy
What is the sum of the numbers 1 through 5?
0.10
1.15
2.20
3.25
Easy
Find the sum of 10 + 11 + 12 + 13.
0.42
1.44
2.46
3.50

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Frequently asked questions

What grade level is "Partial sums of arithmetic series"?

Partial sums of arithmetic series is a Grade 6 Mathematics lesson on ExcelOS.

What will I learn in Partial sums of arithmetic series?

You'll be able to: Apply the formula for the sum of a finite arithmetic series to solve for the partial sum, number of terms, first term, or common difference, given at least three of these values, with 80% accuracy on a summative assessment….

Is "Partial sums of arithmetic series" free to practice?

Yes. You can read the tutorial preview for free, and signing up for a free ExcelOS account unlocks the full tutorial and all practice questions with instant feedback.

How many practice questions are included with Partial sums of arithmetic series?

This lesson includes 25 practice questions across multiple difficulty levels, each with instant feedback and explanations.

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