B

9000073401

Level: 
B
In the following list identify the expression which equals \(3.3\overline{12}\).
\(3.3 +\sum _{ n=1}^{\infty }12\cdot 10^{-2n-1}\)
\(3 +\sum _{ n=1}^{\infty }312\cdot 10^{-2n-1}\)
\(3 +\sum _{ n=1}^{\infty }312\cdot 10^{-3n}\)
\(3.3 +\sum _{ n=1}^{\infty }12\cdot 10^{-3n}\)

9000073007

Level: 
B
Consider a geometric sequence \((a_{n})_{n=1}^{\infty }\). Let \(q\) be the quotient and \(s_{n}\) be the sum of the first \(n\) terms. Given \(a_{1} = -1\: 000\) and \(a_{2} = 100\), find the sum of the first four terms of the sequence.
\(s_{4} = -909\)
\(s_{4} = -900\)
\(s_{4} = 911\)
\(s_{4} = -911\)

9000073005

Level: 
B
Consider a geometric sequence \((a_{n})_{n=1}^{\infty }\). Let \(q\) be the quotient and \(s_{n}\) be the sum of the first \(n\) terms. Given \(a_{2} = 1\) and \(a_{3} = 10\), find the sum of the first four terms of the sequence.
\(s_{4} = 111.1\)
\(s_{4} = 99.9\)
\(s_{4} = 111\)
\(s_{4} = 100\)

9000073402

Level: 
B
In the following list identify the expression which equals \(- 1.0\overline{345}\).
\(- 1 -\sum _{n=1}^{\infty }345\cdot 10^{-3n-1}\)
\(- 1 -\sum _{n=1}^{\infty }345\cdot 10^{-3n}\)
\(-\sum _{n=1}^{\infty }(10 + 345\cdot 10^{-3n-1})\)
\(1 -\sum _{n=1}^{\infty }345\cdot 10^{-3n}\)

9000073006

Level: 
B
Consider a geometric sequence \((a_{n})_{n=1}^{\infty }\). Let \(q\) be the quotient and \(s_{n}\) be the sum of the first \(n\) terms. Given \(a_{1} = 1\) and \(a_{4} = -8\), find the sum of the first five terms of the sequence.
\(s_{5} = 11\)
\(s_{5} = 31\)
\(s_{5} = 16\)
\(s_{5} = -16\)