4 years ago

Find S11 for 1 + 2 + 4 + 8 +

1 answer:

4 0

Evaluating the given sequence, it is evident that the next number is twice the number prior to it. Thus, the given is a geometric sequence with first term (a1) equal to 1 and common ratio of 2. The geometric series may be calculated by the equation,

Sn = a1 x (1 - r^n) / (1 - r)

where Sn is the sum of n terms in this case, n = 11.
Substituting the known values,

 Sn = 1 x (1 - 2^11) / (1 - 2) = 2047

Thus, S11 is 2047.

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