Question

1+2+3.....+n=666 find the n​

Answer 1

N = 36

Proof:

(36/2)(1+36) = 666.

This is according to Carl Gauss's Formula!

Answer 2

The value of n is 36.

Step-by-step explanation:

Given : 1+2+3.....+n=666

To find : The value of n​ ?

Solution :

We know the sum of n term of form 1+2+3.....+n is given by,

$\sum 1+2+3.....+n=\frac{n(n+1)}{2}$

So, we can write the equation as

$\frac{n(n+1)}{2}=666$

$n^2+n=666\times 2$

$n^2+n=1332$

$n^2+n-1332=0$

$n^2+37n-36n-1332=0$

$n(n+37)-36(n+37)=0$

$(n+37)(n-36)=0$

$n=-37,36$

Reject n=-37.

Therefore, the value of n is 36.

#Learn more

What is the value of x^3+x-x^2 if value of X is (-1)​

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