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

Question 1

Skill question

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

[2]

Question 2

Skill question

Find the sum of the first 6 terms of a geometric sequence with $u_{1} = 0.2$ and $r = 4$ .

[2]

Question 3

Skill question

Find the sum of the first 10 terms of a geometric sequence when $u_{1} = 4$ and $r = 1$ .

[2]

Question 4

Skill question

Calculate the sum of the first 7 terms of a geometric sequence with $u_{1} = 9$ and common ratio $r = \frac{1}{3}$ .

[3]

Question 5

Skill question

Find the sum of the first 8 terms of a geometric sequence where $u_{1} = 2$ and $r = 0.5$ .

[2]

Question 6

Skill question

A geometric series has $a = 3$ and $r = 2$ .

Find the smallest integer $n$ such that the sum $S_{n} > 300$ .

[4]

Question 7

Skill question

Calculate the sum of the first 12 terms of a geometric sequence with $u_{1} = 50$ and $r = 0.9$ .

[2]

Question 8

Skill question

Find the sum of the first 9 terms of a geometric sequence with $u_{1} = 256$ and $r = 0.5$ . [2 marks]

Find the sum of the first 9 terms of a geometric sequence with $u_{1} = 256$ and $r = 0.5$ .

[2]

Question 9

Skill question

Calculate the sum of the first 6 terms of a geometric sequence with $u_{1} = 10$ and $r = 1.5$ .

[2]

Question 10

Skill question

Find the sum of the first 4 terms of a geometric sequence with first term $u_{1} = 5$ and common ratio $r = 3$ .

[2]

Question 11

Skill question

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

[2]

IB Mathematics Analysis and Approaches Question Type 4: Finding the Sum of the First n Terms Given First Term and Common Ratio Exercises