Explanation:
To find the first four terms of the sequence given by the formula Tn = 2n² - 3, we substitute values of n from 1 to 4 into the formula.
For n = 1:
T1 = 2(1²) - 3
T1 = 2 - 3
T1 = -1
For n = 2:
T2 = 2(2²) - 3
T2 = 8 - 3
T2 = 5
For n = 3:
T3 = 2(3²) - 3
T3 = 18 - 3
T3 = 15
For n = 4:
T4 = 2(4²) - 3
T4 = 32 - 3
T4 = 29
Therefore, the first four terms of the sequence are: -1, 5, 15, 29.