Question

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. $-2,-4,-8,-16$

Answer 1

The correct option is C

$-2,-4,-6,-8$

We know that the nth term of an AP is given by the formula $a_n=a+(n–1)d$

where $a=$ first term; $a_n=$ the $n^{th}$ term; $d=$the common difference

$$\begin{gathered} a=–2; \\ d=–2; \\ {a}_1=a=–2 \\ {a}_2=a+d=–2+(-2)=–4 \end{gathered}$$

Similarly,

$$\begin{gathered} a_3=–6 \\ {a}_4=–8 \end{gathered}$$

So, the required A.P is$–2,–4,–6,–8,....$

Hence, the correct option is C.