Question

If the sum of five consecutive positive integers is ${}^{\prime }{A}^{\prime }$, then the sum of the next five consecutive in terms of ${}^{\prime }{A}^{\prime }$ is

• A. $A+1$
• B. $A+5$
• C. $A+25$
• D. $5A$

Answer 1

The correct option is C $A+25$

Let number be $x_1,x_2,x_3,........x_{1}0$

so, $\sum _{i=1}^{5}xi=A$

and $xi+5=xi+5$

i.e. $x_1=x_5-5$ or $x_1+5=x5$

and so on

so, $\sum _{i=6}^{10}xi=\sum _{i=1}^{5}xi+25=A+25$