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What is the 'Nth-term rule' in linear (arithmetic) sequences and how is it used?

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’. It i...
EI
Answered by Edmund I. Maths tutor
48309 Views

Expand and simplify 3(m + 4) – 2(4m + 1)

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 is...
RR
Answered by Rahee R. Maths tutor
4992 Views

1) 3x + y = 11 2) 2x + y = 8

Subtract 2) from 1), we get x = 3. This means that y must be 2.
DB
Answered by Dewi B. Maths tutor
3733 Views

Write √98+3√8-√200 in the form a√2, where a is an integer

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 you can take it outsi...
ER
Answered by Emma R. Maths tutor
6586 Views

(A) express 4^x in terms of y given that 2^x = y. (B) solve 8(4^x ) – 9(2^x ) + 1 = 0

(A) express 4 x in terms of y given that 2 x = y. we know that 2 2 = 4. so 4 x = 2 2^x = (2 x ) 2 = y 2 .so whenever you have 2 C^D it doesnt matter which order you solve. you can do (2 C ) D or (2 D ) C ( B...
ST
Answered by Sadat T. Maths tutor
36223 Views