Question

29.
Express the square of 9 as the sum of 9 consecutive numbers.​

Answer 1

Answer:81

Step-by-step explanation:9*9=81

Answer 2

Step-by-step explanation:

Square of 9=81

We have to express 81 as the sum of 9 consecutive numbers.

Now, let x, x+1, x+2, x+3, x+4, x+5, x+6, x+7, x+8 be 9 consecutive numbers.

According to the question,

(x)+(x+1)+(x+2)+(x+3)+(x+4)+(x+5)+(x+6)+(x+7)+(x+8)=81

(x+x+x+x+x+x+x+x+x)+(1+2+3+4+5+6+7+8)=81

9x+36=81

9x=81-36

x=45/9

x=5

Now, square of 9, that is 81, is expressed as the sum of 9 consecutive numbers like this:

5+6+7+8+9+10+11+12+13=81

Hope it helps.