# Choose the correct answer from the given four options:The first four terms of an AP, whose first term is $-2$ and the common difference is $-2$, are(A) $-2,0,2,4$(B)$-2,4,-8,16$(C) $-2,-4,-6,-8$(D) $-2,-4,-8,-16$

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Given:

First term, $a=-2$ and common difference $d=-2$.

To do:

We have to find the first four terms of the given A.P.

Solution:

First term$( a)=-2$

Common difference$( d)=-2$

$\therefore\ 2^{nd}$ term$=a+d=-2-2=-4$

$\Rightarrow\ 3^{rd}$ term$a+2d=-2+2( -2)=-6$

$\Rightarrow\ 4^{th}$ term $a+3d=-2+3( -2)=-8$

Therefore, the A.P. is $-2,\ -4,\ -6,\ -8,$ ......

The first four terms of the given AP are $-2, -4, -6$ and $-8$.

Updated on 10-Oct-2022 13:27:27