Question

Form an arithmetic progression with the first term as $-6$ and common difference of $4$.

Which of the following represents the desired A.P.?

• A. $-6,-2,0,4,...$
• B. $-6,-10,-14,-16,...$
• C. $-6,-2,2,6,...$
• D. $-6,-3,2,6,...$

Answer 1

Answer: (C)

$-6,-2,2,6,...$

The first term of the arithmetic progression is $-6$. So we know that the A.P. starts as $-6,...$ The common difference is $4$ so we know that the next term is $-6+4$ i.e. $-2$. Similarly, now the $3^{rd}$ term is $-2+4$ i.e. $2$ and so on. This sequence is represented by the option '$c$' and thus '$c$' is the correct answer.