The sum of this geometric series with 7 terms: 2 + 6 + ... + 1458 is

The sum of the terms in a geometric sequence is obtained through the equation below,

S = (a1) (1 - r^n) / (1 - r)

Substituting,

S = 2 (1 - 3^7) / (1 - 3) = 2186

Thus, the sum of the first 7 terms in the geometric sequence is equal to 2186.