Question

A(n) 2(3)^n-1. Find the first four terms of the sequence given by the following.

Answer 1

To find the first four terms of the sequence represented by the formula 2(3)^n-1, substitute the values of n into the formula and calculate the result. So, the terms are 2, 6, 18 and 14.

Step-by-step explanation:

A sequence can be represented by a formula in the form of 2(3)^n-1. To find the first four terms of this sequence:

1. Substitute n=1 into the formula: 2(3)^(1-1) = 2(1) = 2
2. Substitute n=2 into the formula: 2(3)^(2-1) = 2(3) = 6
3. Substitute n=3 into the formula: 2(3)^(3-1) = 2(9) = 18
4. Substitute n=4 into the formula: 2(3)^(4-1) = 2(27) = 54