Geometric sequences
Types of exercises: term of a geometric sequence, common ratio of a geometric sequence, sum of a geometric sequence, is the sequence geometric, three terms of a geometric sequence with an unknown, geometric sequences in word problems.
Exercises are drawn at random from a large bank - every click gives a different set.
Narrow the topic
Solved: 0 of 10
The numbers below are, in this order, three consecutive terms of a geometric sequence. Give all possible values of x
−1, −x + 6, −x − 6
Compute the sum of the first terms of the geometric sequence
a₁ = −2, q = 3/2, S₅ = ?
Give the amount
In the first week of a fundraiser for an animal shelter 100 zł was collected, and in each next week twice as much as in the previous week. How many zlotys were collected in total during the first 5 weeks of the fundraiser?
Give the common ratio of the geometric sequence
−9, 18, −36, …
Compute the indicated term of the geometric sequence
a₁ = 3, q = −5, a₄ = ?
Is the sequence (aₙ) geometric?
aₙ = 6n + 9
The numbers below are, in this order, three consecutive terms of a geometric sequence. Give all possible values of x
2, −x − 6, x + 10
Compute the sum of the first terms of the geometric sequence
a₁ = −2, q = −1/3, S₄ = ?
Give the value of the car
A car was bought for 80 000 zł. Every year its value drops by 10% compared with its value in the previous year. How many zlotys will the car be worth 2 years after it was bought?
Give the common ratio of the geometric sequence
1, −2, 4, …
This address is one particular set - everyone who opens it gets exactly the same exercises. Copy the link from the address bar and send it to the class. You can generate a new set at the top of the page.
PhiBoard is a free online whiteboard for maths
These exercises are part of it. On the board itself you can plot a function, write a formula in LaTeX, or solve a problem together with a teacher or a friend - live, in the browser. Our app is completely free.