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

Question 1

Skill question

Calculate the sum of the first 7 terms of the geometric sequence with $u_{1} = 5$ and $r = - 2$ .

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Question 2

Skill question

Determine the sum of the first 5 terms of the geometric progression with $u_{1} = 4$ and $r = 0.5$ .

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Question 3

Skill question

Find the sum of the first 8 terms of a geometric sequence with first term $u_{1} = 2$ and common ratio $r = \frac{1}{2}$ .

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Question 4

Skill question

Determine the sum of the first 7 terms for the geometric sequence with $u_{1} = 8$ and $r = \frac{1}{3}$ .

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Question 5

Skill question

Find the sum of the first 6 terms of the geometric series with first term $u_{1} = 3$ and common ratio $r = 2$ .

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Question 6

Skill question

Find the sum of the first 5 terms of the geometric series with $u_{1} = 100$ and $r = 0.1$ .

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Question 7

Skill question

Find the sum of the first 6 terms of a geometric series where $u_{1} = 7$ and $r = - 1$ .

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Question 8

Skill question

Calculate the sum of the first 9 terms of the geometric progression with $u_{1} = 0.75$ and $r = 1.2$ .

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Question 9

Skill question

Determine the sum of the first 10 terms of a geometric series with first term $u_{1} = 2$ and common ratio $r = 3$ .

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Question 10

Skill question

Find the sum of the first 6 terms for the geometric progression with $u_{1} = 1.5$ and $r = 2.5$ .

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Question 11

Skill question

Calculate the sum of the first 8 terms of the geometric progression with $u_{1} = 6$ and $r = - 0.5$ .

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Question 12

Skill question

Calculate the sum of the first 4 terms of a geometric series where $u_{1} = 5$ and $r = 3$ .

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