Exercises for Question Type 4: Find the sum of the first n terms given the first term and the common difference

Question 1

Skill question

Find the sum of the first $15$ terms of the arithmetic sequence with $u_{1} = 0$ and $d = 5$ .

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Question 2

Skill question

Find the sum of the first $10$ terms of the arithmetic sequence with $u_{1} = 5$ and $d = 2$ .

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Question 3

Skill question

Find the sum of the first $20$ terms of the arithmetic sequence with $u_{1} = 7$ and $d = 0$ .

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Question 4

Skill question

Find the sum of the first $20$ terms of the arithmetic sequence with $u_{1} = 50$ and $d = 5$ .

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Question 5

Skill question

Find the sum of the first $8$ terms of the arithmetic sequence with $u_{1} = 12$ and $d = - 3$ .

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Question 6

Skill question

Find the sum of the first $12$ terms of the arithmetic sequence with $u_{1} = 2.5$ and $d = 1.5$ .

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Question 7

Skill question

Find the sum of the first $6$ terms of the arithmetic sequence with $u_{1} = 3$ and $d = 8$ .

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Question 8

Skill question

Arithmetic sequences and series

Find the sum of the first $3$ terms of the arithmetic sequence with $u_{1} = 3$ and $d = 3$ .

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Question 9

Skill question

Find the sum of the first $5$ terms of the arithmetic sequence with $u_{1} = 100$ and $d = - 10$ .

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Question 10

Skill question

Find the sum of the first $30$ terms of the arithmetic sequence with $u_{1} = - 10$ and $d = 2$ .

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Question 11

Skill question

Find the sum of the first $100$ terms of the arithmetic sequence with $u_{1} = 1$ and $d = 4$ .

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Question 12

Skill question

Find the sum of the first $9$ terms of the arithmetic sequence with $u_{1} = - 4$ and $d = 7$ .

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IB Mathematics Applications & Interpretation Question Type 4: Find the Sum of the First n Terms Given the First Term and the Common Difference Exercises