Find the first five terms of each sequence, defined by the given rule.
An=6N-2
A(n) = 6n - 2
A(1) = 6(1) - 2 = 4
A(2) = 6(2) - 2 = 10
etc.
To find the first five terms of the sequence defined by the rule An = 6N - 2, where N represents the position of the term in the sequence, we can substitute the values of N from 1 to 5 into the rule.
For N = 1:
A1 = 6(1) - 2 = 4
For N = 2:
A2 = 6(2) - 2 = 10
For N = 3:
A3 = 6(3) - 2 = 16
For N = 4:
A4 = 6(4) - 2 = 22
For N = 5:
A5 = 6(5) - 2 = 28
Therefore, the first five terms of the sequence are: 4, 10, 16, 22, 28.
To find the first five terms of the sequence defined by the rule An = 6N - 2, you need to substitute values of N starting from 1 and continuing up to 5.
Let's do the calculations step by step:
1. For N = 1:
A1 = 6(1) - 2 = 6 - 2 = 4
2. For N = 2:
A2 = 6(2) - 2 = 12 - 2 = 10
3. For N = 3:
A3 = 6(3) - 2 = 18 - 2 = 16
4. For N = 4:
A4 = 6(4) - 2 = 24 - 2 = 22
5. For N = 5:
A5 = 6(5) - 2 = 30 - 2 = 28
So, the first five terms of the given sequence are 4, 10, 16, 22, and 28.