Question

The formula Tn = 200 – 6n² generates a sequence of numbers. Calculate the first 4 terms in this sequence.

A. T1 = 194, T2 = 188, T3 = 182, T4 = 176
B. T1 = 200, T2 = 194, T3 = 188, T4 = 182
C. T1 = 182, T2 = 188, T3 = 194, T4 = 200
D. T1 = 176, T2 = 182, T3 = 188, T4 = 194

Answer 1

The first 4 terms in the sequence generated by the formula Tn = 200 - 6n² are T1 = 194, T2 = 188, T3 = 182, and T4 = 176.

Step-by-step explanation:

The formula Tn = 200 – 6n² generates a sequence of numbers. To calculate the first 4 terms in this sequence, we substitute the values of n from 1 to 4 into the formula.

For n = 1, T1 = 200 - 6(1²) = 194.

For n = 2, T2 = 200 - 6(2²) = 188.

For n = 3, T3 = 200 - 6(3²) = 182.

For n = 4, T4 = 200 - 6(4²) = 176.

Therefore, the first 4 terms in the sequence are T1 = 194, T2 = 188, T3 = 182, and T4 = 176. Therefore, the correct answer is A. T1 = 194, T2 = 188, T3 = 182, T4 = 176.