**Problem 2:** **Write the first five terms of each sequence. Determine whether each sequence is arithmetic, geometric, or neither. Note: \( a(1) = 7 \) means that the first term of the sequence is 7.** a. \( a(1) = 7, \ a(n) = a(n-1) - 3 \) for \( n \geq 2 \). This sequence is __________. The first five terms are 7, ____, ____, ____, and ____. b. \( b(1) = 2, \ b(n) = 2 \cdot b(n-1) - 1 \) for \( n \geq 2 \). This sequence is __________. The first five terms are ____, ____, ____, ____, and ____. c. \( c(1) = 3, \ c(n) = 10 \cdot c(n-1) \) for \( n \geq 2 \). This sequence is __________. The first five terms are ____, ____, ____, ____, and ____. d. \( d(1) = 1, \ d(n) = n \cdot d(n-1) - 1 \) for \( n \geq 2 \). This sequence is __________. The first five terms are ____, ____, ____, ____, and ____.

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A: Here is the solution:

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