Math Hard

Sequences & Series

Test your knowledge of sequences and series — the patterns behind arithmetic and geometric progressions and how to sum them.

Questions cover finding terms in arithmetic and geometric sequences, summing a finite series, infinite geometric series convergence, and the Fibonacci sequence.

Spotting the pattern is half the battle — see how quickly you can find the next term.

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Sample questions3 of 12 shown
Q1
What is the next term in the arithmetic sequence 3, 7, 11, 15, ...?
Q2
What is the common ratio of the geometric sequence 2, 6, 18, 54, ...?
Q3
Which of the following are convergent geometric series?
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