Q : 3     In the following APs, find the missing terms in the boxes :

             (iv)   \small -4,\: \fbox { },\: \fbox { },\: \fbox { },\: \fbox { },\: 6

Answers (1)

Given AP series is
\small -4,\: \fbox { },\: \fbox { },\: \fbox { },\: \fbox { },\: 6
Here, a = -4 , n = 6 \ and \ a_6 = 6
Now, we know that
a_n = a+(n-1)d
\Rightarrow a_6 =-4+(6-1)d
\Rightarrow 6+4 = 5d
\Rightarrow d = \frac{10}{5} = 2
Now,
a_2= a_1+d
a_2 = -4+2 = -2
And 
a_3=a_2+d
a_3=-2+2 = 0
And 
a_4 = a_3+d
a_4 = 0+2 = 2
And 
a_5 = a_4 + d
a_5 = 2+2 = 4
Therefore, missing terms are   -2,0,2,4 
AP series is -4,-2,0,2,4,6

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