Final answer:
To find the nth term of the given sequence, we can use the formula for the nth term of an arithmetic progression.
Step-by-step explanation:
The given sequence is 14, 15.9, 17.8, 19.7, 21.6. We can observe that each term is increasing by 1.9. So, to find the nth term, we need to determine the common difference and then apply the formula for the nth term of an arithmetic progression.
The common difference is 1.9. The first term is 14. So, the nth term can be found using the formula:
nth term = first term + (n - 1) * common difference
Let's substitute the values:
nth term = 14 + (n - 1) * 1.9
To find the nᵗʰ term of the given sequence (14, 15.9, 17.8, 19.7, 21.6), we first need to determine the pattern of the sequence. By examining the differences between consecutive terms, we can see that each term is increasing by 1.9. This is a linear sequence, and the nᵗʰ term of a linear sequence can be expressed as an + b, where 'a' is the common difference, and 'b' is the first term adjusted by the common difference pattern.
To find 'b', we can backtrack from the first term, 14, to find the value at the 0th position, which would be 14 - 1.9 = 12.1. Therefore, the formula for the nᵗʰ term would be 1.9n + 12.1. If you plug in 'n' for any term position, you can calculate the value of that term in the sequence.