Sequences
Sequences
analyze a sequence
prime(n)
compute the limit of a sequence
limit (1+1/n)^n as n->infinity
analyze a named integer sequence
sequence of Fibonacci numbers
specify a sequence by OEIS number
OEIS A000219
Sequence Recognition
compute a possible formula and continuation for a sequence
1, 4, 9, 16, 25, ...
5, 14, 23, 32, 41, ...
1, 2, 3, 2, 1, 2, 3, 2, 1, ...
sum an incompletely specified sequence of terms
1+2+3+...+10
3+12+27+...+300
sum an incompletely specified infinite series
1/2 + 1/4 + 1/8 + 1/16 + ...
multiply an incompletely specified sequence of terms
2 * 4 * 6 * ... * 36
solve a recurrence
g(n+1)=n^2+g(n)
specify initial values
f(n)=f(n-1)+f(n-2), f(1)=1, f(2)=2
find a recurrence satisfied by a given sequence