algebra
For each of the following sequences, find an explicit and a recursive description of the pattern. Assume sequences start from n = 1.
a. 1, -1, -3, -5... b. 8,2,3,9...
c. -2, 0, 0, -2, -6...
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Answers
a. Explicit: n, -n, -3n, -5n, ...
Recursive: a1 = 1; an = -(2n-1)*a_n-1
b. Explicit: 8, 2, 3, 9, ...
Recursive: a1 = 8; an = an-2 + 3
c. Explicit: -2, 0, 0, -2, -6, ...
Recursive: a1 = -2; an = an-1 - 2n-1
