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How would I find the formula for the nth term of a sequence such as 3, 7, 11, 15, 19?

This is an example of a linear sequence which will always have the formula: u n =an+b. Where 'a' is the common difference between each term and 'b' is the 'zeroth' term.By subtracting the previous term from ...
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Answered by Tommy G. • Maths tutor
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gradient and differentiation

dy/dxfirst principal
YZ
Answered by Yubin Z. • Maths tutor
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solve the simultaneous equation: 5x+y =21 and x-3y=9

5x+y=215x-15y=45 16y = -24 y = -1.5 5x -1.5 =215x=22.5x=4.5
CM
Answered by Caitlin M. • Maths tutor
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Gemma wants to buy an equal number of pencils and rulers. Find how many of each she is able to purchase with £5. Use the price list below.

Price list:Pencils - 10p Rulers - 30pWe know Gemma would like to buy an equal number of pencils and rulers. Therefore we can call this a 1:1 ratio. Using the price list we can see that 1 ruler and 1 pencil w...
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Answered by Talha M. • Maths tutor
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A rectangle is made up of the equations; For the longer spans: 5x-12y+16 and 5y-4x+20; for the shorter spans: 2x-4y+4 and 3x-2y-12

Initially solve for the longer spans through simultaneous equations;5x-12y+16=5y-4x+20Simplify equation;9x-17y-4=0Repeat for the shorter spans;2x-4y+4=3x-2y-12Simplify equation;x+2y-16=0Make x the subject;x=...
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Answered by Benedict M. • Maths tutor
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