The series can be expressed as the sum of a geometric series with first term a=1 and common ratio r=2. The formula for the sum of a geometric series is:
S_n = a(1 - r^n)/(1 - r)
Substituting the values a=1, r=2, and n=5, we get:
S_5 = 1(1 - 2^5)/(1 - 2) = 1(-31)/(-1) = 31
Therefore, the sum of the first 5 terms of the series 1+2+4+... is 31.
Evaluate each finite series for the specified number of terms. 1+2+4+...;n=5
1 answer