String Bean

Mathematics

19 October, 12:08

Your older sibling came home from college for the weekend and showed you the following sequences (from her homework) that she claimed were generated from initial values and recurrence relations. For each sequence, find an initial value and recurrence relation that describes the sequence. (Your sister showed you an answer to the first problem.)

a. (0,2,4,6,8,10,12,14,16, ...)

b. (1,3,5,7,9,11,13,15,17, ...)

c. (14,16,18,20,22,24,26, ...)

d. (14,21,28,35,42,49, ...)

e. (14,7,0,-7,-14,-21,-28,-35, ...)

f. (2,4,8,16,32,64,128, ...)

g. (3,6,12,24,48,96, ...)

h. (1,3,9,27,81,243, ...)

i. (9,27,81,243, ...)