Sequences and series
Arithmetic sequences119 problems · 7 skills
Arithmetic and geometric together 18First term and common difference 18🔒Inserting means 11🔒Ratios of two progressions 18🔒Sum of an arithmetic sequence 18🔒The nth term 18🔒Which term? How many terms? 18🔒
Geometric sequences95 problems · 6 skills
Common ratio 16Finding terms of a geometric sequence 17🔒Logarithms and progressions 13🔒Products of terms 16🔒Sum of a geometric sequence 18🔒Three terms in progression 15🔒
Recursive sequences90 problems · 6 skills
Computing terms of a recurrence 16Divisibility in recurrences 8🔒Extremal sequences 17🔒Fibonacci-type sequences 14🔒Fixed points and periodic sequences 17🔒Sums of recurrence terms 18🔒
Finite sums128 problems · 10 skills
Alternating sums 18Comparing sums 9🔒Pairing terms 7🔒Sums of 1 to n, odds and evens 17🔒Sums of consecutive integers 8🔒Sums of cubes and powers 10🔒Sums of multiples 13🔒Sums of products 16🔒Telescoping products 15🔒Terms from partial sums 15🔒
Infinite series158 problems · 10 skills
Alternating fraction sums 18Bounding sums 18🔒Double series 12🔒Fibonacci series 12🔒Geometric series 18🔒Infinite products 12🔒Nested radicals and continued fractions 18🔒Series with factorials 16🔒Sums of reciprocals 17🔒Telescoping series 17🔒
Number patterns83 problems · 6 skills
Fraction sequences 14Grouped sequences 13🔒Growing patterns 8🔒Missing term in a pattern 17🔒Next terms 15🔒Wrong term in a series 16🔒