Designed by a Certified Math Tutor in Richmond Hill
If you’re a Grade 11 student in Ontario studying MCR3U (Functions) or a parent seeking professional math tutoring in Richmond Hill, this free worksheet is an essential tool to support your success in math. It includes step-by-step problems, clear layout, and a detailed answer key to help learners practice arithmetic sequences with confidence.
What Are Arithmetic Sequences?
An arithmetic sequence is a list of numbers where the same amount is added (or subtracted) each time to get the next number. This constant amount is called the common difference (d). For example:
5, 8, 11, 14, … has a common difference of 3.
The general term of an arithmetic sequence (also called the nth term) is written using the formula:
tₙ = a + (n – 1)d
Where:
• a = the first term
• d = the common difference
• n = the position of the term
• tₙ = the value of the term at position n
Grade 11 students are expected to:
– Understand this formula
– Solve for unknowns like the number of terms
– Apply sequences to real-world problems and function modeling
What’s Included
– 6 scaffolded questions that increase in difficulty
– Focus on problem-solving, term formula writing, and word problems
– Full answer key with step-by-step explanations
– Available in Word (editable) and PDF (printable) formats
– Aligned to the Ontario MCR3U Grade 11 Functions Curriculum
Who This Is For
This resource is ideal for:
– Students preparing for MCR3U quizzes, unit tests, or the final exam
– Parents supporting their child’s independent math review
– Tutors in Richmond Hill offering one-on-one or small group instruction
– Teachers looking for high-quality practice materials
As a certified Ontario math teacher and tutor based in Richmond Hill, I’ve used this worksheet to help dozens of students improve their grades and confidence in math.