Question

Given the sequence -9, -8.98, -8.96, -8.94, -8.92 Determine its nth term

Answer 1

The nth term of the sequence -9, -8.98, -8.96, -8.94, -8.92 is -9 + 0.02(n-1), where n is the term number in the sequence.

Step-by-step explanation:

The sequence given is -9, -8.98, -8.96, -8.94, -8.92. To determine its nth term, we need to find a pattern. Looking at the sequence, it seems each term increases by 0.02. To find an explicit formula for the nth term, let's break it down:

1. The first term (n=1) is -9.
2. The second term is the first term plus the common difference, which is 0.02. So, for n=2, the term is -8.98 or -9 + (2-1)*0.02.
3. The nth term would then be the first term plus (n-1) times the common difference. This gives us the formula: -9 + (n-1)*0.02.

Therefore, the nth term of the sequence is -9 + 0.02(n-1).

The given sequence is -9, -8.98, -8.96, -8.94, -8.92. To determine the nth term of the sequence, we can observe that each term increases by 0.02. This means that the common difference between consecutive terms is 0.02. The nth term can be determined using the formula: nth term = first term + (n-1) * common difference. In this sequence, the first term is -9 and the common difference is 0.02. Therefore, the nth term is -9 + (n-1) * 0.02.