Answer :
Step-by-step explanation:
1) 3, 6, 9, 12, 15
- 6 - 3 = 9 - 6 = 12 - 9 = 15 - 2
- Each term is 3 more than the previous term.
2) 9, 3, 1, 1/3, 1/9
- 3/9 = 1/3 = (1/3)/1 = (1/9)/(1/3) = 1/3
- Each term is 3 times less then the previous term.
3) a, c, e, g, i, k, m
- 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) 0, 5, -2, 3, -4, 1, -6
- 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) 4, 8, 16, 32, 64, 128
- 8/4 = 16/8 = 32/16 = 64/32 = 128/64 = 2
- Each term is twice the previous term
6) 0.1, 0.01, 0.001, 0.0001
- 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
Make a conjecture about the rules these patterns follow.
1. 3, 6, 9, 12, 15
2. 9, 3, 1, 1/3, 1/9
3. a, c, e, g, i, k, m
4. 0, 5, -2, 3, -4, 1, -6
5. 4, 8, 16, 32, 64, 128
6, 0.1, 0.01, 0.001, 0.0001