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How do I work out the nth term?

7, 18, 29, 40, 51Supposedly we take the above-stated sequence and find its nth term. Now since we have already identified that this sequence has a common differ...

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Show that the value of cos(30) x tan(60) + sin(30) is an integer

In case the question states that you are not allowed to use the calculator, then you are supposed to remember the values given for each trigonometric ratio in t...

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How can I work out the area of a semi-circle with a diameter of 12cm?

The question asks to calculate the area of a semicircle which is half a circle so the area of a semicircle is half the area of a circle.Area of a semicircle = a...

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How do you find the nth term formula for a sequence with a non-constant difference?

To calculate the nth term formula of a sequence with non-constant difference.

  1. Calculate the difference between the terms.
  2. Calculate the change in...

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How to factorise?

Factorization is writing an expression as a product of factors. A factor is a number that divides a number or expression without a remainder.To factorize linear...

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What is the cosine rule and when can it be used?

Cosine Rule is used:  When the length of all 3 sides of a triangle is given. OR When 2 sides and an included angle is given. (C is an included angle of lin...

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Write 36 as a product of prime factors. Give your answer in index form.

Prime factorization is a way of expressing a number as a product of its prime factors. A prime number is a number that has exactly two factors, 1 and the number...

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Express 56 as the product of the its prime factors.

In order to find the prime factors, whose product equals 56, we need to break down 56 into its basic components. Always begin with dividing the number by a prim...

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How to solve simultaneous equations with two unknowns?

The two main methods that you can solve simultaneous equations with two unknowns are:● Algebraically   ○ Substitution Method   ○ Elimination...

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a)Work out the total surface area of this cuboid (3cm x 4cm x 2cm). b) The cuboid has density 7g/cm^3, what is the mass of the cuboid?

 a) As shown in the diagram above, unlike a cube which has all equal sides, a cuboid can have varying lengths for the height, width and length.In order to...

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