Using Formula: Error Analysis & Misconceptions
Mathematics
Grade 7
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet focused on using the formula for the nth term of an arithmetic sequence, including error analysis and common misconceptions. Designed to enhance procedural mastery and reasoning skills.
Worksheet Preview
Full preview • 12 questions
Using Formula: Error Analysis & Misconceptions
Subject: MathematicsGrade: Grade 7
Name:
Date:
TeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizz
Untitled Worksheet
Grade Grade 7
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the 10th term of the sequence where the first term is 3 and the common difference is 5.
[2 marks]2.
Find the general term (nth term) of the sequence: 2, 5, 8, 11, ...
[3 marks]3.
A sequence has a first term of 7 and a common difference of -2. What is the 15th term?
[2 marks]4.
Construct the nth term of a sequence where the 1st term is 4 and the 4th term is 16.
[3 marks]5.
If the nth term of a sequence is given by a_n = 3n + 2, what is the 20th term?
[2 marks]6.
Identify the common mistake made when attempting to find the 12th term of a sequence using the formula a_n = 2 + (n - 1) * 4, if someone calculates a_12 = 2 + 12 * 4.
[3 marks]7.
Solve for n: a_n = 50, given that a_n = 4 + (n - 1) * 6.
[3 marks]8.
A sequence's 5th term is 20, and the 8th term is 29. Find the first term and the common difference.
[4 marks]9.
Determine the 25th term of a sequence with first term 10 and common difference 2, then verify your answer by plugging n=25 into the formula.
[3 marks]10.
A student incorrectly uses the formula a_n = 5 + (n + 2) * 3 to find the 8th term. Identify and correct the mistake.
[3 marks]11.
Construct the nth term of a sequence with first term 6 and a 4th term of 18. Then calculate the 10th term.
[4 marks]12.
Challenge: For the sequence a_n = 7 + (n - 1) * 2, determine n when a_n = 31.
[4 marks]Quick Actions
What is Remix?
Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
- • Change grade level (Grade 6 → Grade 7)
- • Swap topics (Harry Potter → Macbeth)
- • Add more questions (10 → 15)
- • Adjust difficulty
Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet