Consider these three sequences.
i. 243, -324, 432, -576, . . .
ii. 22, 26, 31, 37, 44, . . .
iii. 24, 25.75, 27.5, 29.25, 31, . . .
a. Find the next two terms in each sequence.
b. Identify each sequence as arithmetic, geometric, or other.
c. If a sequence is arithmetic or geometric, write a recursive routine to generate the sequence.
d. If a sequence is arithmetic, give an explicit formula that generates the sequence.