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In any sequence, the position of a term (1st, 2nd, 3rd etc.) is represented by the letter ‘n’. In linear sequences only, the ‘nth-term rule’ gives the value of any term in that sequence at position ‘n’. I...

The first thing that we are going to do to tackle this problem is to expand the bracket on the left-hand side (3(m+4)). To do this you have to multiply each of the terms inside the bracket with the 3 that...

Subtract 2) from 1), we get x = 3. This means that y must be 2.

Step 1: Put all the surds in to the form a√2. Starting with √98 try and work out what numbers multiply together with 2 to get 98 (2x49). Therefore √98=√(2x49). As 49 is a square number yo...

(A) express 4^x in terms of y given that 2^x = y. we know that 2² = 4....