B

2010000707

Level: 
B
We are given a sequence \( \left( a_n \right)^{6}_{n=1} \) defined by the following graph. Find the recursive formula of such sequence.
\( a_1=2, \ a_{n+1}=-a_n, \ n \in \{1,2,3,4,5\}\)
\( a_1=-2, \ a_{n+1}=-a_n, \ n \in \{1,2,3,4,5\}\)
\( a_1=-2, \ a_{n+1}=-2a_n, \ n \in \{1,2,3,4,5\}\)
\( a_1=2, \ a_{n+1}=a_n, \ n \in \{1,2,3,4,5\}\)

2010000706

Level: 
B
We are given a sequence \( \left( a_n \right)^{6}_{n=1} \) defined by the following graph. Find the recursive formula of such sequence.
\( a_1=-2, \ a_{n+1}=-a_n, \ n \in \{1,2,3,4,5\}\)
\( a_1=2, \ a_{n+1}=-a_n, \ n \in \{1,2,3,4,5\}\)
\( a_1=-2, \ a_{n+1}=-2a_n, \ n \in \{1,2,3,4,5\}\)
\( a_1=2, \ a_{n+1}=a_n, \ n \in \{1,2,3,4,5\}\)

2010001305

Level: 
B
Factor the following polynomial expression. \[ 36b^{2}c^{2} - 9a^{2}b^{2} - 36c^{2}d^{2} + 9a^{2}d^{2} \]
\(9\left (b - d\right )\left (b + d\right )\left (2c + a\right )\left (2c - a\right )\)
\(\left (b^2 + d^2\right )\left (36c^2 + 9a^2\right )\)
\(9\left (a - d\right )\left (a + d\right )\left (2b + c\right )\left (2b - c\right )\)
\(\left (a^2 + d^2\right )\left (36b^2 + 9c^2\right )\)