Given the quadratic sequence defined by Tn=−2n2+5n−5

Question

, find the values of T2
and T3

Answer 1

To find the values of T2 and T3, we will substitute n=2 and n=3 into the formula for the quadratic sequence.

For T2:
T2 = -2(2)^2 + 5(2) - 5
T2 = -2(4) + 10 - 5
T2 = -8 + 10 - 5
T2 = -3

Therefore, T2 = -3.

For T3:
T3 = -2(3)^2 + 5(3) - 5
T3 = -2(9) + 15 - 5
T3 = -18 + 15 - 5
T3 = -8

Therefore, T3 = -8.

Thus, the values of T2 and T3 in the quadratic sequence are T2 = -3 and T3 = -8.