194k views
4 votes
Find S11 for 1 + 2 + 4 + 8 +

1 Answer

3 votes
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.
User Gligoran
by
7.9k points

Related questions

1 answer
0 votes
161k views
asked Apr 21, 2016 1.4k views
Idm asked Apr 21, 2016
by Idm
8.3k points
1 answer
5 votes
1.4k views