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,
<span> Sn = 1 x (1 - 2^11) / (1 - 2) = 2047
</span>
Thus, S11 is 2047.
Answer:2284
Step-by-step explanation:
Answer:
<h2>The value of
is 31 years.</h2>
Step-by-step explanation:
The given equation is formed by different variables, where indicates the period of time in years where the rate of inflation is calculated.
In this case, we have a period from 1980 to 2011. The difference between these years would be the period of time used to find the inflation rate.
Therefore, the value of is 31 years.
