Question

Write any five consecutive natural numbers and find their sum.
Does the middle number have any relation with the sum? What
if we take 9 consecutive natural numbers? Does the same relation hold for any odd number of number is even ​

Answer 1

Answer:

1,2,3,4,5

1+2+3+4+5=15

the middle no. when multiplied by total no. of odd consecutive numbers gives us sum of five consecutive natural no.s.It is always possible.

Yes. if we take 9 consecutive natural numbers, then same it will happen as happened in previous sum.

Answer 2

Step-by-step explanation:

number be x

Thus other four consecutive natural numbers are x + 1, x + 2, x + 3 and x + 4

As per statement the sum of five consecutive natural numbers is 20.

To find the largest numbers.

X + x +1 + x +2+ x+ 3+ x + 4% 3 20 5x + 10

= 20 5x

= 20 - 10 5x

= 10 X = 10 /5 X = 2

Thus smaller consecutive natural number is 2,

The other four consecutive natural numbers are x+ 1 = 2 + 1= 3; x + 2= 2 + 2= 4 x + 3 = 2+ 3= 5 x + 4 = 2+ 4 = 6

Thus five consecutive natural numbers are 2, 3, 4, 5 and 6