Question

if s is the sum of s consecutive integers,then s will be even when s is a multiple of​

Answer 1

'S' will be a multiple of '2'

Given:

S is the sum of s consecutive integers and S will be even

To find:

S is a multiple of​ ___

Solution:

Even numbers:

Even numbers are exactly divisible by 2 and can be split into 2 equal pairs or groups. 2, 4, 6, 8, 10, and so on are some examples.

In simple words, an integer that is a factor of two is said to be an "even number." Any integer that can be divided in half by two is considered to be an even number.

So, here we can say that every even number is a multiple of '2'

Given that

S is the sum of S consecutive integers,  

And 'S' is an even number

As we know every even number is a multiple of '2'

So, 'S' will be a multiple of '2'

Therefore,

'S' will be a multiple of '2'

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