Exercises for Question Type 2: Find the common difference given two terms

Question 1

Skill question

In an arithmetic progression, $u_{5} = \frac{1}{2}$ and $u_{10} = 7$ . Determine $d$ .

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Question 2

Skill question

For an arithmetic sequence, $u_{2} = 7$ and $u_{5} = 19$ . Calculate the common difference.

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Question 3

Skill question

In an arithmetic sequence, $u_{8} = - 4$ and $u_{2} = 8$ . Calculate $d$ .

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Question 4

Skill question

In an arithmetic progression, the $6^{th}$ term is $2$ and the $1 4^{th}$ term is $18$ . Determine $d$ .

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Question 5

Skill question

For an arithmetic sequence, $u_{7} = 0$ and $u_{15} = 16$ . Find the common difference.

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Question 6

Skill question

An arithmetic sequence has $u_{12} = 10$ and $u_{3} = - 2$ . Find the common difference.

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Question 7

Skill question

In an arithmetic sequence, $u_{2} = - 3.5$ and $u_{6} = 4.5$ . Calculate the common difference $d$ .

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Question 8

Skill question

In an arithmetic sequence, $u_{3} = 8$ and $u_{6} = 17$ . Find the common difference $d$ .

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Question 9

Skill question

An arithmetic sequence has $u_{4} = 10$ and $u_{9} = 25$ . Determine the common difference $d$ .

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Question 10

Skill question

An arithmetic sequence satisfies $u_{1} = 4$ and $u_{10} = 31$ . Find the common difference $d$ .

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Question 11

Skill question

In an arithmetic progression, $u_{5} = - 3$ and $u_{8} = 6$ . Find the value of $d$ .

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Question 12

Skill question

Given $u_{3} = 5.5$ and $u_{7} = 13.5$ in an arithmetic sequence, find the common difference.

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IB Mathematics Applications & Interpretation Question Type 2: Find the Common Difference Given Two Terms Exercises