Question

$x$	$1$	$2$	$3$	$4$	$5$	$6$
$g\left(x\right)$	$3$	$11$	$19$	$27$	$a$	$43$

The table above defines several values of the linear function $g$. Calculate the value of $a$.

• A. $31$
• B. $33$
• C. $35$
• D. $37$
• E. $41$

Answer 1

The correct option is C $35$

The first term, $a$ $=3$
The difference $d$ $=11-3=8$
The $n^{th}$ term we need to find is $5$.
Using, arithmetic progression formula for $n^{th}$ term.
i.e: $A_n=a+(n-1)d$
$A_5=3+(5-1)8$
$A_5=3+32$
$A_5=35$
Hence,option C is correct.