Final answer:
a) 10, 12.1, 14.2, 16.3, ... is an arithmetic sequence. b) 1, 5, 14, 30, ... does not follow a clear pattern. c) 1, 1, 2, 3, ... is a Fibonacci sequence. d) 7, 10.5, 15.75, 23.625, ... is a geometric sequence.
Step-by-step explanation:
a) The sequence 10, 12.1, 14.2, 16.3, ... is an arithmetic sequence. This is because each term in the sequence is obtained by adding a constant difference (2.1) to the previous term.
b) The sequence 1, 5, 14, 30, ... is not an arithmetic, geometric, Fibonacci, or pyramidal sequence. It does not follow any clear pattern.
c) The sequence 1, 1, 2, 3, ... is a Fibonacci sequence. In this sequence, each term is the sum of the two preceding terms.
d) The sequence 7, 10.5, 15.75, 23.625, ... is a geometric sequence. This is because each term in the sequence is obtained by multiplying a constant ratio (1.5) to the previous term.