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For any sequence where there is a common difference (it increases or decreases with the same amount, n, each time) you can find the nth term using the formula: dn+(a-d) "a" is the value of the firs...

Contrary to popular belief, the passive is a 'voice' not a tense, but it can be used in different tenses - the present, past or future for example. Confusing huh? So when should you use the passive voice? It...

For many people (including, unfortunately, French people), this is a recurrent mistake, despite the fact it can be avoided easily. Those endings are used for different things. The first one, '-er', is the in...

"Integration by parts" is one of several methods in our arsenal that we can use to integrate a function f ( x ). It involves expressing f ( x ) as the product of two other functions, which I will c...

To find the roots, we solve the equation 3 x 2 + 13x + 4 = 0. We could try factorising the equation, which gives us (3x + 1)(x + 4) = 0 So the roots are x = -1/3 and x = -4. Alternatively, we could use the q...