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

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

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

Question 1

Find the sum of the first 6 terms of a geometric sequence with first term $u_1 = 3$ and common ratio $r = 2$ .

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Question 2

Find the sum of the first 6 terms of a geometric sequence with $u_1 = 0.2$ and $r = 4$ .

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Question 3

Find the sum of the first 10 terms of a geometric sequence when $u_1 = 4$ and $r = 1$ .

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Question 4

Calculate the sum of the first 7 terms of a geometric sequence with $u_1 = 9$ and common ratio $r = \frac{1}{3}$ .

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Question 5

Find the sum of the first 8 terms of a geometric sequence where $u_1 = 2$ and $r = 0.5$ .

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Question 6

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

Find the smallest integer $n$ such that the sum $S_n > 300$ .

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Question 7

Calculate the sum of the first 12 terms of a geometric sequence with $u_1 = 50$ and $r = 0.9$ .

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Question 8

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 $r = 0.5$ .

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Question 9

Calculate the sum of the first 6 terms of a geometric sequence with $u_1 = 10$ and $r = 1.5$ .

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Question 10

Find the sum of the first 4 terms of a geometric sequence with first term $u_1 = 5$ and common ratio $r = 3$ .

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Question 11

Find the sum of the first 5 terms of a geometric sequence with $u_1 = 7$ and common ratio $r = -2$ .

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