Q : 3       In an AP:

              (ix) given  \small a=3,n=8,S=192,  find \small d .

Answers (1)

It is given that
\small a=3,n=8,S=192,
Now, we know that 
S_n = \frac{n}{2}\left \{ 2a+(n-1)d \right \}
\Rightarrow 192 = \frac{8}{2}\left \{ 2\times(3) +(8-1)d\right \}
\Rightarrow 192=4\left \{6 +7d\right \}
\Rightarrow 7d = 48-6
\Rightarrow d = \frac{42}{7} = 6
Therefore, value of d is 6

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