What is the nth term of the sequence whose first three terms are
2A + 2, 2A + 4, 2A + 6, …?
a) nA+n
b) 2nA+n+(2n+1)
c) 2A+2n --------> my answer. Can you check for me pls?
d) 2A+2n+1
To find the nth term of the sequence, we need to identify the pattern in the given sequence. Looking at the first three terms, we can observe that each term is obtained by adding 2 to the previous term.
Let's analyze the sequence further:
1st term: 2A + 2 (the initial term)
2nd term: 2A + 4 (adding 2 to the previous term)
3rd term: 2A + 6 (adding 2 to the previous term)
We can see that to obtain each subsequent term, we add 2 to the previous term.
Therefore, the nth term of the sequence can be found using the following formula:
nth term = (2A + 2) + 2 × (n - 1)
Let's simplify this formula:
nth term = 2A + 2 + 2n - 2
nth term = 2A + 2n
Hence, the correct answer is indeed c) 2A + 2n.