Step-by-step explanation:
1) <u>3, 6, 9, 12, 15</u>
- 6 - 3 = 9 - 6 = 12 - 9 = 15 - 2
- Each term is 3 more than the previous term.
2) <u>9, 3, 1, 1/3, 1/9</u>
- 3/9 = 1/3 = (1/3)/1 = (1/9)/(1/3) = 1/3
- Each term is 3 times less then the previous term.
3) <u>a, c, e, g, i, k, m</u>
- a = 1, c = 3, e = 5, g = 7, i = 9, k = 11, m = 13
- Each letter is 2 places right from the previous letter of English alphabet
4) <u>0, 5, -2, 3, -4, 1, -6</u>
- 5 - 0 = 5, -2 - 5 = -7
- 3 - (-2) = 5, -4 - 3 = -7
- 1 - (-4) = 5, -6 - 1 = - 7
- Each odd numbered term is 7 less than the previous term, each even numbered term is 5 more than the previous term
5) <u>4, 8, 16, 32, 64, 128</u>
- 8/4 = 16/8 = 32/16 = 64/32 = 128/64 = 2
- Each term is twice the previous term
6) <u>0.1, 0.01, 0.001, 0.0001</u>
- 0.1/0.01 = 0.01/0.1 = 0.001/0.01 = 0.0001/0.001 = 0.1
- Each term is 10 times less than the previous term
