Question

Use the given n th-term formula to compute the first three terms of the sequence: a_(n)=2n² -n

Answer 1

The first three terms of the sequence given by the nth-term formula an=2n² -n are 1, 6, and 15, calculated by substituting n values 1, 2, and 3 into the formula.

Step-by-step explanation:

To compute the first three terms of the sequence an=2n² -n, we substitute the smallest natural numbers 1, 2, and 3 for 'n'.

1. For n=1: a1 = 2(1)² - 1 = 2(1) - 1 = 2 - 1 = 1.
2. For n=2: a2 = 2(2)² - 2 = 2(4) - 2 = 8 - 2 = 6.
3. For n=3: a3 = 2(3)² - 3 = 2(9) - 3 = 18 - 3 = 15.

The first three terms of the sequence are 1, 6, and 15.