Write the sum using sigma notation.2 + 4 + 6 +    + 52

The sum 2 + 4 + 6 + ... + 52 can be written in sigma notation as follows:

Step 1: Identify the pattern in the series. The series is an arithmetic series where each term increases by 2.

Step 2: Identify the first term (a) and the common difference (d). Here, a = 2 and d = 2.

Step 3: Identify the number of terms (n). The nth term in an arithmetic series can be found using the formula a + (n-1)d. Setting this equal to 52 gives 2 + (n-1)2 = 52. Solving for n gives n = 26.

Step 4: Write the series in sigma notation. The general term of the series can be written as a + (n-1)d = 2 + (n-1)2 = 2n. So the series can be written as ∑_(i=1)^26 2i.