# Question 1 of 40

Farah uses black and white buttons to form figure that follow a pattern. The first four figure are shown below.
(a) A figure in the pattern has a total of 176 black and white buttons What is the Figure Number? \begin{array}{|c|c|c | c | c |} \hline \mbox{Figure Number} & 1 & 2 & 3 & 4\\ \hline \mbox{Number of black buttons} & 0 & 1 & 3 & 6 \\ \hline \mbox{Number of white buttons} & 1 & 4 & 9 & 16 \\ \hline \mbox{Total number of buttons}& 1 & 5 & 12 & 22 \\ \hline \end{array}
(b) A figure in the pattern has 784 white buttons. How many black buttons are there in that figure?

A
(a) 9
(b) 376
B
(a) 11
(b) 378
C
(a) 13
(b) 380
D
(a) 15
(b) 382
E
None of the above