sequences

Determine the next three terms in each of the following sequences: (answers at the end)

a) 3, 6, 12, 24,, ,

b) -9, -12, -15, -18,, ,

c) 3, 7, 15, 31,, ,

d) 3, 6, 10, 15,, ,

e) 2, 3, 5, 8, 13,, ,

Answers: a) 48, 96, 192 (pattern: previous term times 2) b) -21, -24, -27 (previous term minus 3) c) 63, 127, 255 (previous term times 2 then add 1) d) 21, 28, 36 (add 3, add 4, add 5, add, 6, add 7 etc) e) **Fibonacci sequence**: each term is the sum of the the previous 2 terms. ... 21 (= 8 + 13) ... 34 (13 + 21) ... 55 (21 + 34)