# Chapter 11 - Infinite Series - 11.1 Sequences - Exercises - Page 537: 7

\begin{array}{lclcl} b_1=4&\\ b_2=6&\\ b_3=4&\\ b_4=6\\ \end{array}

#### Work Step by Step

Given $$\ \ \ b_n=5+\cos (n \pi), \ \ \ \ \ \ n= 1, 2,3, \dots$$ So, we get \begin{array}{|l|l|}\hline & n& \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ b_n \\ \\ \hline \text{First Term} & 1 & b_1=5+\cos (1 \pi)=5-1=4 \\ \\ \hline \text{Second Term} & 2 & b_2=5+\cos (2 \pi)=5+1=6\\ \\ \hline \text{Third Term} & 3 & b_3=5+\cos (3 \pi)=5-1=4\\ \\ \hline \text{Fourth Term} & 4 & b_4=5+\cos (4 \pi)=5+1=6\\ \\ \hline \end{array}

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