Question

How we can express 121 as the sum of 11 consecutive odd natural number in explanation

Answer 1

Hey there!

Let us take the starting number as ' x '

Then, the next number would be x + 2

The next number would be x + 4

Fourth number = x + 6

Fifth number = x + 8

sixth number = x + 10

Seventh number = x + 12

Eight number = x + 14

Ninth number = x + 16

Tenth number = x + 18

Eleventh number = x + 20

If we add them all, we get 121

11 x + 110 = 121

11 x = 11

x = 1

First number = 1

second = 3

Numbers are =

1 , 3 , 5 , 7 , 9 , 11 , 13 , 15 , 17 , 19 , 21

Hope my answer helps!

#BeBrainly

@sid071

Answer 2

ANSWER ---------------

A.T.Q.

121 should be expressed as sum of 11 consecutive odd numbers.

Let one number be x

Next odd consecutive number = x+2

Similarly , the next 9 odd consecutive numbers will be -----

x+4 , x+6 , x+8 , x+10 , x+12 , x+14 , x+16 , x+18 , x+20

The EQUATION formed ------------------------

x + x+2 + x+4 + x+6 + x+8 + x+10 + x+12 + x+14 + x+16 + x+18 + x+20 = 121

11x + 110 = 121

=› 11x = 121 - 110

=› 11x = 11

=› x = 11/11 = 1

The numbers are -------------
1 , 3 , 5 , 7 ,9 , 11 , 13 , 15 , 17 , 19 , 21

We can write 121 in the form of sum of 11 odd consecutive natural numbers ------

1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 = 121

#Be Brainly