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Sequences - MYP Questionbank | RevisionDojo

Practice Sequences with authentic MYP MYP Standard Mathematics exam questions for both SL and HL students. This question bank mirrors Paper 1, 2, 3 structure, covering key topics like core principles, advanced applications, and practical problem-solving. Get instant solutions, detailed explanations, and build exam confidence with questions in the style of MYP examiners.

Type

Difficulty

Question 1

A sequence is defined by the rule $u_n = n^2 + n$ . Find the index $n$ of the term that has a value of 12.

Question 2

In the recursive rule $u_n = u_{n-1} + d$ , what does the expression $u_{n-1}$ represent?

Question 3

A sequence is generated by the rule $u_{n+1} = 2u_n - 1$ with $u_1 = 2$ . What is the value of the 5th term, $u_5$ ?

Question 4

An arithmetic sequence has a common difference of $d = -5$ and a first term $u_1 = 100$ . Which of these represents the simplified explicit formula for the $n$ th term?

Question 5

Although a linear sequence $u_n = an + b$ resembles a linear function $f(x) = ax + b$ , we cannot substitute $n = 1.5$ to find a term because sequence indices must be positive integers.

Question 6

A sequence is defined by the recursive rule $u_{n+1} = \frac{1}{u_n}$ with $u_1 = 4$ . The value of the 5th term $u_5$ is ________.

Question 7

In some subjects, such as computer science, a sequence might start with the index 0. If a sequence is defined starting at $u_0 = 5$ and follows the recursive rule $u_{n+1} = u_n + 3$ , what is the value of the third term in the list, which is $u_2$ ?

Question 8

Which of the following statements correctly describes the components and structure of a mathematical sequence?

Question 9

A linear sequence begins $8, 13, 18, 23, \dots$ . Which of the following simplified explicit formulae represents this pattern?

Question 10

The process of repeatedly applying a recursive rule to generate successive terms from a starting value is known as:

Type

Difficulty

Question 1

A sequence is defined by the rule $u_n = n^2 + n$ . Find the index $n$ of the term that has a value of 12.

Question 2

In the recursive rule $u_n = u_{n-1} + d$ , what does the expression $u_{n-1}$ represent?

Question 3

A sequence is generated by the rule $u_{n+1} = 2u_n - 1$ with $u_1 = 2$ . What is the value of the 5th term, $u_5$ ?

Question 4

An arithmetic sequence has a common difference of $d = -5$ and a first term $u_1 = 100$ . Which of these represents the simplified explicit formula for the $n$ th term?

Question 5

Although a linear sequence $u_n = an + b$ resembles a linear function $f(x) = ax + b$ , we cannot substitute $n = 1.5$ to find a term because sequence indices must be positive integers.

Question 6

A sequence is defined by the recursive rule $u_{n+1} = \frac{1}{u_n}$ with $u_1 = 4$ . The value of the 5th term $u_5$ is ________.

Question 7

Question 8

Which of the following statements correctly describes the components and structure of a mathematical sequence?

Question 9

A linear sequence begins $8, 13, 18, 23, \dots$ . Which of the following simplified explicit formulae represents this pattern?

Question 10

The process of repeatedly applying a recursive rule to generate successive terms from a starting value is known as:

Type

Difficulty

Question 1

A sequence is defined by the rule $u_n = n^2 + n$ . Find the index $n$ of the term that has a value of 12.

Question 2

In the recursive rule $u_n = u_{n-1} + d$ , what does the expression $u_{n-1}$ represent?

Question 3

A sequence is generated by the rule $u_{n+1} = 2u_n - 1$ with $u_1 = 2$ . What is the value of the 5th term, $u_5$ ?

Question 4

An arithmetic sequence has a common difference of $d = -5$ and a first term $u_1 = 100$ . Which of these represents the simplified explicit formula for the $n$ th term?

Question 5

Although a linear sequence $u_n = an + b$ resembles a linear function $f(x) = ax + b$ , we cannot substitute $n = 1.5$ to find a term because sequence indices must be positive integers.

Question 6

A sequence is defined by the recursive rule $u_{n+1} = \frac{1}{u_n}$ with $u_1 = 4$ . The value of the 5th term $u_5$ is ________.

Question 7

Question 8

Which of the following statements correctly describes the components and structure of a mathematical sequence?

Question 9

A linear sequence begins $8, 13, 18, 23, \dots$ . Which of the following simplified explicit formulae represents this pattern?

Question 10

The process of repeatedly applying a recursive rule to generate successive terms from a starting value is known as:

Sequences Questionbank