B

9000076003

Level: 
B
In the following list identify a set of a numbers which give remainder \(1\) after division by \(11\), i.e. the numbers can be written in the form \(11k + 1\), \(k\in \mathbb{N}_{0}\).
\(56,\ 122,\ 221\)
\(21,\ 32,\ 48\)
\(18,\ 88,\ 115\)
\(34,\ 55,\ 70\)
\(45,\ 56,\ 65\)

9000073001

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 \(a_{1} = 2\) and \(q = 2\), find the sum of the first five terms of the sequence.
\(s_{5} = 62\)
\(s_{5} = 18\)
\(s_{5} = 32\)
\(s_{5} = -59\)

9000073002

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 \(a_{6} = 5\) and \(q = 1\), find the sum of the first five terms of the sequence.
\(s_{5} = 25\)
\(s_{5} = 31\)
\(s_{5} = 6\)
\(s_{5} = 30\)