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Identifying the nnnth term of a sequence: {3,6,9,12,…}.
an=2n+3a_n=2n+3an=2n+3
an=3na_n=3nan=3n
an=2n+1a_n=2n+1an=2n+1
Identifying the nnnth term of a sequence: {1,2,3,4,…}.
an=na_n=nan=n
an=3+(n−1)6a_n=3+(n-1)6an=3+(n−1)6
Identifying the nnnth term of a sequence: {-1,14\frac{1}{4}41 ,−127\frac{-1}{27}27−1,1256\frac{1}{256}2561,...}.
an=(−1n)na_n=(\frac{-1}{n})^nan=(n−1)n
an=n2a_n=n^2an=n2
Identifying the nnnth term of a sequence: {3,5,7,9,…}.
an=n−3a_n=n-3an=n−3
Identifying the nnnth term of a sequence: {0,1,1,2,3,…}.
an=an−1+an−2a_n=a_{n-1}+a_{n-2}an=an−1+an−2
an=(−1)nn2a_n=(-1)^nn^2an=(−1)nn2
What is the 50th term of the sequence whose first term is 8 and common difference is 0.25?
Given: a1=5, a11=20. What is d?
What is the 400th term of the sequence whose 30th term is 96 and the common difference is 12?
It is done.