What is the 23rd term of the sequence 2,4,6,8,
2+2(23-1)=46
To find the 23rd term of the sequence 2, 4, 6, 8, you can use the formula for arithmetic sequences.
An arithmetic sequence is a sequence of numbers in which the difference between any two consecutive terms is constant. In this case, the difference between consecutive terms is 2 (each term is 2 more than the previous term), so the common difference is 2.
The formula for finding the nth term of an arithmetic sequence is:
An = A1 + (n - 1) * d
where An represents the nth term of the sequence, A1 is the first term of the sequence, n is the position of the term you want to find, and d is the common difference.
In your case, the first term (A1) is 2, the position you want to find (n) is 23, and the common difference (d) is 2.
By substituting these values into the formula, you can find the 23rd term:
A23 = 2 + (23 - 1) * 2
A23 = 2 + 22 * 2
A23 = 2 + 44
A23 = 46
Therefore, the 23rd term of the sequence 2, 4, 6, 8, is 46.