Question

What is the explicit equation for the nth term of the arithmetic sequence 6.3, 3.6, 0.9, –1.8, –4.5, …? an = 6.3 – 2.7n an = 6.3 – 2.7(n – 1) an = 6.3 + 2.7n an = 6.3 + 2.7(n + 1)

Answer 1

The explicit equation for the nth term of the arithmetic sequence 6.3, 3.6, 0.9, –1.8, –4.5, ... is an = 6.3 - 2.7(n-1).

Step-by-step explanation:

The explicit equation for the nth term of an arithmetic sequence can be found using the formula an = a1 + (n-1)d, where a1 is the first term and d is the common difference.

In the given arithmetic sequence, the first term is 6.3 and the common difference is -2.7. Therefore, the explicit equation for the nth term of the sequence is an = 6.3 - 2.7(n-1).