1. What is the next 3 terms 2,5,8, 11?

Sequence:

2, 5, 8, 11

Pattern:

current number plus 3 to get next number.

So next three terms are,

14, 17, 20

11 + 3 = 14

14 + 3 = 17

17 + 3 = 20

nth Rule:

nth term = 3n - 1

Proof of nth rule formula:

based on sequence,

if n=1, 1st term = 2

Let's try our formula,

nth term = 3n - 1

1st term = 3(1) - 1

1st term = 3 - 1

1st term = 2 ✔️✔️✔️ TRUE

based on sequence,

if n=4, 4th term = 11

Let's try our formula ,

nth term = 3n - 1

4th term = 3(4) - 1

4th term = 12 - 1

4th term = 11 ✔️✔️✔️ TRUE

based on sequence,

if n=7, 7th term = 20

Let's try our formula ,

nth term = 3n - 1

4th term = 3(7) - 1

4th term = 21 - 1

4th term = 20 ✔️✔️✔️ TRUE

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