Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

If $S = \frac{n (a + 1)}{2}$ $S=(n(a+1))/2$ what is $n$ $n$ ?

1 Answer

Mar 19, 2017

$n = \frac{2 S}{a + 1} XXX$ $n=(2S)/(a+1)color(white)("XXX")$ provided $(a + 1) \neq 0$ $(a+1)!=0$

Explanation:

Given
$XXX S = \frac{n (a + 1)}{2} XX$ $color(white)("XXX")S=(n(a+1))/2color(white)("XX")$ ...at least that's how interpreted the question.

$\frac{n (a + 1)}{2} = S XXXX$ $(n(a+1))/2 = Scolor(white)("XXXX")$ because we usually like to have the variable we are solving for on the left.

$\to n (a + 1) = 2 S XXXX$ $rarr n(a+1) = 2Scolor(white)("XXXX")$ after multiplying both sides by $2$ $2$

$\to n = \frac{2 S}{a + 1} XXXX$ $rarr n= (2S)/(a+1)color(white)("XXXX")$ after multiplying both sides by $(a + 1)$ $(a+1)$ and with the assumption that $a \neq - 1$ $a!=-1$ #

Related questions

See all questions in Variable Expressions

Impact of this question

1572 views around the world

You can reuse this answer
Creative Commons License