Final answer:
The nth term of the sequence 7, 707, 1407, 2107, 2807 is given by the arithmetic sequence formula and can be expressed as 700n - 693.
Step-by-step explanation:
To find the nth term of the sequence 7, 707, 1407, 2107, 2807, we need to find a pattern first. By observing the sequence, we see that each term increases by 700. This means we can express the nth term as an arithmetic sequence.
The first term, a1, is 7 and the common difference, d, is 700. Thus, the nth term, an, of an arithmetic sequence is given by:
an = a1 + (n - 1) × d
By substituting the known values, we get:
an = 7 + (n - 1) × 700
an = 7 + 700n - 700
an = 700n - 693
So the nth term of the given sequence is 700n - 693.