The average of 5 consecutive integers startin | vedclass

Name: PDF Generator App | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

Let the $5$ consecutive integers be $m , m +1, m +2, m +3, m +4$

$m+m+1+m+2+m+3+m+4=5 n$

$5 m+10=5 n \Rightarrow n=m+2$

Now, the average of $

Vedclass · Accepted Answer

$\frac{2 n+5}{2}$

Vedclass · Answer

Let the $5$ consecutive integers be $m , m +1, m +2, m +3, m +4$

$m+m+1+m+2+m+3+m+4=5 n$

$5 m+10=5 n \Rightarrow n=m+2$

Now, the average of $6$ consective number starting with $( m +2)$

$=\frac{[m +2+ m +3+ m +4+m+5+m+6+m+7]}{6}=\frac{6 m+27}{6}$

$=\frac{2 m+9}{2}=\frac{2(n-2)+9}{2}=\frac{2 n+5}{2}$

The average of $5$ consecutive integers starting with $m$ is $n$. What is the average of $6$ consecutive integers starting with $( m +2) ?$

Similar Questions

The average of first $46$ natural number is

The total marks obtained by a student in Physics, Chemistry and Mathematics together is $120$ more than the marks obtained by him in Chemistry. What is the average marks obtained by him in Physics and Mathematics together ?

If the average of $m$ numbers is $n^{2}$ and that of $n$ numbers is $m^{2}$, then the average of $( m + n )$ numbers is

The average marks of students in an examination was $65 .$ It was later found that the marks of one students had been wrongly entered as $83$ instead of $38.$ the correct average is ?

The average monthly salary of a staff of $9$ persons is $Rs.\,2450.$ One member of the staff whose monthly salary is $Rs.\,2650$ is transferred. Find out the average salary of the remaining $8$ persons of the staff.(in $Rs.$)