An exercise on geometric sequences including finding the nth term and the sum of any number of terms.
This is level 2: find a given term of these geometric sequences. You can earn a trophy if you get at least 7 questions correct and you do this activity online.
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Level 1 - Find the next term of these geometric sequences
Level 2 - Find a given term of these geometric sequences
Level 3 - Mixed questions about geometric sequences and their sums
Missing Terms - Find the missing terms of arithmetic, geometric and Fibonacci-type sequences in this self marking quiz.
Exam Style questions are in the style of GCSE or IB/A-level exam paper questions and worked solutions are available for Transum subscribers.
Arithmetic Sequences - A similar exercise on arithmetic sequences.
More on this topic including lesson Starters, visual aids and investigations.
See the National Curriculum page for links to related online activities and resources.
Here is a reminder of some facts that may help you answering the questions in this exercise.
An geometric sequence, sometimes called a geometric progression, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed number called the common ratio. For example, the sequence 5, 10, 20, 40, ... is a geometric sequence with common ratio 2.
The first term of the sequence can be written as u1
The nth term of the sequence can be written as un
The common ratio is usually written as r
The formula for finding the nth term is un=u1r(n-1)
The formula for finding the sum of n terms is Sn=u1(rn-1) ÷ (r-1)
The excellent video above is from Corbettmaths.
Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can double-click the 'Check' button to make it float at the bottom of your screen.