Final answer:
The nᵗʰ term of the given arithmetic sequence 0, 40, 80, 120, 160 is found using the formula for the nth term of an arithmetic sequence and is 40n - 40.
Step-by-step explanation:
The sequence given is 0, 40, 80, 120, 160, which is an arithmetic sequence because the difference between consecutive terms is constant. In this case, the common difference is 40. To find the nᵗʰ term of an arithmetic sequence, we can use the formula:
nth term = first term + (n - 1) × common difference
For the given sequence, the first term (a1) is 0, and the common difference (d) is 40, so the nᵗʰ term (an) is:
an = 0 + (n - 1)× 40
an = 40(n - 1)
an = 40n - 40
Therefore, the nᵗʰ term of the sequence is 40n - 40.