Source: Manhattan Prep
In a certain sequence, the term \(a_n\) is defined by the formula \(a_n = 2\cdot a_{n-1}\) for each term \(n \geq 2\). If \(a_1=1\), what is the positive difference between the sum of the first 10 terms s of the sequence and the sum of the 11th and 12th terms of the same sequence?
A. 1
B. 1,024
C. 1,025
D. 2,048
E. 2,049
The OA is E
In a certain sequence, the term \(a_n\) is defined by the formula \(a_n = 2\cdot a_{n-1}\) for each term \(n \geq 2\). If \(a_1=1\), what is the positive difference between the sum of the first 10 terms s of the sequence and the sum of the 11th and 12th terms of the same sequence?
A. 1
B. 1,024
C. 1,025
D. 2,048
E. 2,049
The OA is E
