Question 1

The sequence 4, 12, 36, 108, ... is geometric. What is the common ratio?

Accepted Answer

Sign up to Aimnova to view the full markscheme, model answer, and get AI-powered feedback on your response.

Question 2

Which condition must hold for a geometric series to have a Sum to Infinity?

Accepted Answer

Sign up to Aimnova to view the full markscheme, model answer, and get AI-powered feedback on your response.

Question 3

If a question asks for the total of the first 8 terms, which symbol should appear in your work?

Accepted Answer

Sign up to Aimnova to view the full markscheme, model answer, and get AI-powered feedback on your response.

Question 4

Which sequence is geometric?

Accepted Answer

Sign up to Aimnova to view the full markscheme, model answer, and get AI-powered feedback on your response.

Question 5

Which situation is geometric rather than arithmetic?

Accepted Answer

Sign up to Aimnova to view the full markscheme, model answer, and get AI-powered feedback on your response.

Question 6

A machine is worth $18 000 and depreciates by 10% each year. Find its value after 3 years.

Accepted Answer

Sign up to Aimnova to view the full markscheme, model answer, and get AI-powered feedback on your response.

Question 7

A phone loses 20% of its value each year. It is bought for $900. Find its value after 2 years.

Accepted Answer

Sign up to Aimnova to view the full markscheme, model answer, and get AI-powered feedback on your response.

Question 8

A geometric sequence has u₁ = 5 and r = 2. Which formula gives uₙ?

Accepted Answer

Sign up to Aimnova to view the full markscheme, model answer, and get AI-powered feedback on your response.

Question 9

A town population increases by 4% each year. Which multiplier should be used?

Accepted Answer

Sign up to Aimnova to view the full markscheme, model answer, and get AI-powered feedback on your response.

Question 10

A city has 12 000 people and grows by 3% each year. Find the population after 4 years.

Accepted Answer

Sign up to Aimnova to view the full markscheme, model answer, and get AI-powered feedback on your response.

Question 11

Find the 7th term of the geometric sequence with u₁ = 3 and r = 2.

Accepted Answer

Sign up to Aimnova to view the full markscheme, model answer, and get AI-powered feedback on your response.

Question 12

A car loses 15% of its value each year. Which multiplier should be used?

Accepted Answer

Sign up to Aimnova to view the full markscheme, model answer, and get AI-powered feedback on your response.

Question 13

What is a geometric series?

Accepted Answer

Sign up to Aimnova to view the full markscheme, model answer, and get AI-powered feedback on your response.

Question 14

Which formula gives the sum of the first n terms of a geometric series?

Accepted Answer

Sign up to Aimnova to view the full markscheme, model answer, and get AI-powered feedback on your response.

Question 15

For the series 3 + 6 + 12 + 24 + ..., what are a and r?

Accepted Answer

Sign up to Aimnova to view the full markscheme, model answer, and get AI-powered feedback on your response.

Question 16

Write the next three terms of the geometric sequence 7, 21, 63, ...

Accepted Answer

Sign up to Aimnova to view the full markscheme, model answer, and get AI-powered feedback on your response.

Question 17

Find the sum of the first 5 terms of the geometric series 2 + 6 + 18 + ...

Accepted Answer

Sign up to Aimnova to view the full markscheme, model answer, and get AI-powered feedback on your response.

Question 18

Find the sum of the first 4 terms of the series 5 + 10 + 20 + ...

Accepted Answer

Sign up to Aimnova to view the full markscheme, model answer, and get AI-powered feedback on your response.

Question 19

Find the common ratio of the sequence 80, 40, 20, 10, ...

Accepted Answer

Sign up to Aimnova to view the full markscheme, model answer, and get AI-powered feedback on your response.

Question 20

A geometric series has first term 6 and common ratio 1/3. Find S∞.

Accepted Answer

Sign up to Aimnova to view the full markscheme, model answer, and get AI-powered feedback on your response.

Topic 1.3: Geometric Sequences and Series Questions

Ready to practise Topic 1.3?