Question

Use the iterative rule to find the 5th term in the sequence An = 4 x 3n-1

Answer 1

The 5th term in the sequence An = 4 × 3n-1 is calculated by substituting n with 5, resulting in 4 × 81, which equals 324.

Step-by-step explanation:

To find the 5th term in the sequence An = 4 × 3n-1, where n is the term number, we will plug n=5 into the iterative rule and follow the order of operations.

1. Replace n with 5 in the formula: A5 = 4 × 35-1.
2. Calculate the exponent: 34 = 3 × 3 × 3 × 3 = 81.
3. Multiply by 4: 4 × 81 = 324.

Therefore, the 5th term in the sequence is 324.