Question

The sum of three terms of AP is $21$ and Minimum value of the product of the first and the third terms

• A. $30$
• B. $\frac{49}{4}$
• C. $\frac{59}{4}$
• D. $48$

Answer 1

The correct option is D $48$

Let $x,x+1,x+2$ are three terms which are in $A.P$

So, according to the question,

$\Rightarrow$ $x+x+1+x+2=21$

$\Rightarrow$ $3x+3=21$

$\Rightarrow$ $3x=18$

$\therefore$ $x=6$

$\therefore$ The three numbers are $6,7,8$ which are in $A.P$

Here, first tem is $6$ and third term is $8$

$\Rightarrow$ Required product $=6\times 8=48$