Sure, here are the first three numbers in each series:
1. tn = 2(n + 3)
- For n = 1: t1 = 2(1 + 3) = 8
- For n = 2: t2 = 2(2 + 3) = 10
- For n = 3: t3 = 2(3 + 3) = 12
2. tn = 3n – 1
- For n = 1: t1 = 3(1) - 1 = 2
- For n = 2: t2 = 3(2) - 1 = 5
- For n = 3: t3 = 3(3) - 1 = 8
3. tn = n + 11
- For n = 1: t1 = 1 + 11 = 12
- For n = 2: t2 = 2 + 11 = 13
- For n = 3: t3 = 3 + 11 = 14
4. tn = 5(2)^n
- For n = 1: t1 = 5(2)^1 = 10
- For n = 2: t2 = 5(2)^2 = 20
- For n = 3: t3 = 5(2)^3 = 40
5. tn = (-2)^n
- For n = 1: t1 = (-2)^1 = -2
- For n = 2: t2 = (-2)^2 = 4
- For n = 3: t3 = (-2)^3 = -8
6. tn = n^n
- For n = 1: t1 = 1^1 = 1
- For n = 2: t2 = 2^2 = 4
- For n = 3: t3 = 3^3 = 27
7. tn = n^nn + 1
- For n = 1: t1 = 1^2 = 1
- For n = 2: t2 = 2^3 = 8
- For n = 3: t3 = 3^4 = 81
8. tn = n(n^n – 1)
- For n = 1: t1 = 1(1^1 - 1) = 0
- For n = 2: t2 = 2(2^2 - 1) = 6
- For n = 3: t3 = 3(3^3 - 1) = 78
9. tn = 2^n + 1
- For n = 1: t1 = 2^1 + 1 = 3
- For n = 2: t2 = 2^2 + 1 = 5
- For n = 3: t3 = 2^3 + 1 = 9
10. tn = 1/n
- For n = 1: t1 = 1/1 = 1
- For n = 2: t2 = 1/2 ≈ 0.5
- For n = 3: t3 = 1/3 ≈ 0.333
Let me know if you need further assistance!