Final answer:
To find the nth term of the sequence (6, 8, 10, 12, 14, 16, 18, 20), use the nth term formula for an arithmetic sequence: nth term = 6 + (n - 1) × 2. By plugging in the value of 'n', any term in the sequence can be determined.
Step-by-step explanation:
The given sequence is an arithmetic sequence where each term increases by a constant difference. To find the nth term of an arithmetic sequence, the formula is:
nth term = first term + (n - 1) × common difference
In the sequence provided (6, 8, 10, 12, 14, 16, 18, 20), the first term is 6 and the common difference (the amount added to each term to get the next term) is 2. We can use the nth term formula to find any term in this sequence:
nth term = 6 + (n - 1) × 2
Let's use this formula to find the 5th term as an example:
5th term = 6 + (5 - 1) × 2 = 6 + 4 × 2 = 6 + 8 = 14
This matches the fifth term in the sequence, verifying our formula's correctness. Therefore, to find the nth term of this sequence, simply plug in the value of 'n' into the formula above.