HomePricing

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

This math topic focuses on formulating equations to find the sum of all integers from 1 to a given number, N. It practices deriving formulas from sequences of integers, specifically using the sum formula for the first N natural numbers. The problems require translating a textual description of a number series into an algebraic equation representing the total sum. Each problem presents multiple choice answers, showcasing different equations to challenge understanding of the underlying mathematical principle. This is part of a broader study on patterning and number patterns.

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

View Unit

Sums - Series of Integers 1 to N - Text to Equation

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


What equation would give you this sum?

The sum of all integers from 1 to 14, inclusive

Sums - Series of Integers 1 to N - Text to Equation Worksheet

Mobius Math Club logo
Math worksheet on 'Sums - Series of Integers 1 to N - Text to Equation (Level 1)'. Part of a broader unit on 'Patterns and Sums - Intro' Learn online: app.mobius.academy/math/units/patterns_and_sums_intro/
1
The sum of all integers from 1 to 20, inclusive
What equation would give you this sum?
a A LaTex expression showing 21(21+1) over 2
b A LaTex expression showing 2 over 20(20+1)
c A LaTex expression showing 20(20+1) over 20
d A LaTex expression showing 20(20+1) over 2
2
The sum of all integers from 1 to 13, inclusive
What equation would give you this sum?
a A LaTex expression showing 12(12+1) over 2
b A LaTex expression showing 13(13+1) over 13
c A LaTex expression showing 2 over 13(13+1)
d A LaTex expression showing 13(13+1) over 2
3
The sum of all integers from 1 to 22, inclusive
What equation would give you this sum?
a A LaTex expression showing 23(23+1) over 2
b A LaTex expression showing 22(22+1) over 2
c A LaTex expression showing 22(22+1) over 22
d A LaTex expression showing 2 over 22(22+1)
4
The sum of all integers from 1 to 8, inclusive
What equation would give you this sum?
a A LaTex expression showing 7(7+1) over 2
b A LaTex expression showing 9(9+1) over 2
c A LaTex expression showing 8(8+1) over 2
d A LaTex expression showing 2 over 8(8+1)
5
The sum of all integers from 1 to 17, inclusive
What equation would give you this sum?
a A LaTex expression showing 17(17+1) over 2
b A LaTex expression showing 2 over 17(17+1)
c A LaTex expression showing 16(16+1) over 2
d A LaTex expression showing 18(18+1) over 2
6
The sum of all integers from 1 to 14, inclusive
What equation would give you this sum?
a A LaTex expression showing 2 over 14(14+1)
b A LaTex expression showing 14(14+1) over 2
c A LaTex expression showing 14(14+1) over 14
d A LaTex expression showing 15(15+1) over 2
7
The sum of all integers from 1 to 15, inclusive
What equation would give you this sum?
a A LaTex expression showing 2 over 15(15+1)
b A LaTex expression showing 15(15+1) over 15
c A LaTex expression showing 15(15+1) over 2