1. The problem is to provide examples and solutions for arithmetic, geometric, and Fibonacci sequences. 2. Arithmetic sequence formula: $$a_n = a_1 + (n-1)d$$ where $a_1$ is the first term and $d$ is the common difference. 3. Geometric sequence formula: $$a_n = a_1 \times r^{n-1}$$ where $a_1$ is the first term and $r$ is the common ratio. 4. Fibonacci sequence is defined by: $$F_1 = 1, F_2 = 1, F_n = F_{n-1} + F_{n-2}$$ for $n \geq 3$. 5. Examples of arithmetic sequences (first 5 terms each): - $a_1=2, d=3$: 2, 5, 8, 11, 14 - $a_1=10, d=-2$: 10, 8, 6, 4, 2 - $a_1=0, d=1$: 0, 1, 2, 3, 4 - $a_1=5, d=0$: 5, 5, 5, 5, 5 - $a_1=-3, d=4$: -3, 1, 5, 9, 13 6. Examples of geometric sequences (first 5 terms each): - $a_1=3, r=2$: 3, 6, 12, 24, 48 - $a_1=5, r=0.5$: 5, 2.5, 1.25, 0.625, 0.3125 - $a_1=1, r=-3$: 1, -3, 9, -27, 81 - $a_1=4, r=1$: 4, 4, 4, 4, 4 - $a_1=2, r=3$: 2, 6, 18, 54, 162 7. Examples of Fibonacci sequence (first 10 terms): 1, 1, 2, 3, 5, 8, 13, 21, 34, 55 8. For each example, the terms are generated by applying the respective formulas step-by-step. This summary includes 20 examples total: 5 arithmetic, 5 geometric, and 10 Fibonacci.