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Arithmetic sequences - MYP Questionbank | RevisionDojo

Practice Arithmetic sequences with authentic MYP MYP Extended 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

Which of the following values is a term in the arithmetic sequence defined by $u_1 = 4$ and $d = 0.6$ ?

Question 2

True or False: The general term of any arithmetic sequence $u_n = u_1 + (n-1)d$ can be rearranged into the linear form $u_n = dn + c$ , where $c$ is a constant equal to $u_1 - d$ .

Question 3

A sequence where every term is the same, such as $7, 7, 7, \dots$ , is considered an arithmetic sequence.

Question 4

The points $(3, 11)$ and $(5, 17)$ represent terms $(n, u_n)$ of an arithmetic sequence. If these points are connected to form a line, what is the $y$ -intercept of that line?

Question 5

True or False: In any arithmetic sequence ${u_1, u_2, u_3, \dots}$ , the common difference ${d}$ is equal to ${\frac{u_3 - u_1}{2}}$ .

Question 6

Which of the following sequences is an arithmetic sequence?

Question 7

Find the common difference $d$ for an arithmetic sequence where $u_2 = 13$ and $u_5 = 31$ .

Question 8

A student is given the sequence $5, 10, 20, 40, \dots$ and identifies it as arithmetic with $d=5$ . Why is this classification incorrect?

Question 9

An arithmetic sequence is given by $u_n = 100 + (n-1)(-1.5)$ . Determine the behavior of this sequence.

Question 10

For the sequence $u_n = 15 + (n-1)7$ , which of the following calculations correctly proves that 100 is NOT a term in the sequence?

Type

Difficulty

Question 1

Which of the following values is a term in the arithmetic sequence defined by $u_1 = 4$ and $d = 0.6$ ?

Question 2

True or False: The general term of any arithmetic sequence $u_n = u_1 + (n-1)d$ can be rearranged into the linear form $u_n = dn + c$ , where $c$ is a constant equal to $u_1 - d$ .

Question 3

A sequence where every term is the same, such as $7, 7, 7, \dots$ , is considered an arithmetic sequence.

Question 4

The points $(3, 11)$ and $(5, 17)$ represent terms $(n, u_n)$ of an arithmetic sequence. If these points are connected to form a line, what is the $y$ -intercept of that line?

Question 5

True or False: In any arithmetic sequence ${u_1, u_2, u_3, \dots}$ , the common difference ${d}$ is equal to ${\frac{u_3 - u_1}{2}}$ .

Question 6

Which of the following sequences is an arithmetic sequence?

Question 7

Find the common difference $d$ for an arithmetic sequence where $u_2 = 13$ and $u_5 = 31$ .

Question 8

A student is given the sequence $5, 10, 20, 40, \dots$ and identifies it as arithmetic with $d=5$ . Why is this classification incorrect?

Question 9

An arithmetic sequence is given by $u_n = 100 + (n-1)(-1.5)$ . Determine the behavior of this sequence.

Question 10

For the sequence $u_n = 15 + (n-1)7$ , which of the following calculations correctly proves that 100 is NOT a term in the sequence?

Type

Difficulty

Question 1

Which of the following values is a term in the arithmetic sequence defined by $u_1 = 4$ and $d = 0.6$ ?

Question 2

True or False: The general term of any arithmetic sequence $u_n = u_1 + (n-1)d$ can be rearranged into the linear form $u_n = dn + c$ , where $c$ is a constant equal to $u_1 - d$ .

Question 3

A sequence where every term is the same, such as $7, 7, 7, \dots$ , is considered an arithmetic sequence.

Question 4

The points $(3, 11)$ and $(5, 17)$ represent terms $(n, u_n)$ of an arithmetic sequence. If these points are connected to form a line, what is the $y$ -intercept of that line?

Question 5

True or False: In any arithmetic sequence ${u_1, u_2, u_3, \dots}$ , the common difference ${d}$ is equal to ${\frac{u_3 - u_1}{2}}$ .

Question 6

Which of the following sequences is an arithmetic sequence?

Question 7

Find the common difference $d$ for an arithmetic sequence where $u_2 = 13$ and $u_5 = 31$ .

Question 8

A student is given the sequence $5, 10, 20, 40, \dots$ and identifies it as arithmetic with $d=5$ . Why is this classification incorrect?

Question 9

An arithmetic sequence is given by $u_n = 100 + (n-1)(-1.5)$ . Determine the behavior of this sequence.

Question 10

For the sequence $u_n = 15 + (n-1)7$ , which of the following calculations correctly proves that 100 is NOT a term in the sequence?

Arithmetic sequences Questionbank