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Further Mathematics

AI prompts for senior secondary learners.

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707 prompts matching "sum to infinity of a geometric series"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Show All Working: The sum to infinity of a geometric progression, and when it exists

Act as my Further Mathematics examiner. I am in SS 1. Set me a question on the sum to infi

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Sum of the first n terms of a geometric series

I am in SS 1. I'm going to explain using the formula Sn = a(r^n - 1)/(r - 1) to find the s

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Sum of a geometric series with a negative common ratio

I am in SS 1. Teach me finding the sum of a geometric series where the common ratio is neg

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Applying the sum to infinity formula when the ratio lies between minus one and one

I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on usin

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Deriving the geometric series sum formula

I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on how

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Explaining why sum to infinity only works for |r| < 1

I am in SS 1. Quiz me with 5 short Additional Maths questions on explaining, using a numer

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Sum of the first n terms of an arithmetic series

I am in SS 1. I attempted an Additional Maths question on using the formula Sn = n/2 (2a +

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Sum of an arithmetic series given the first and last term

I am in SS 1. Teach me using the formula Sn = n/2 (a + l) to find the sum of an arithmetic

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Sum of a series expressed with algebraic terms

I am in SS 1. Teach me finding the sum of the first n terms of a series where each term is

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Learn: The formula for the sum of the first n terms of a geometric progression

You are my personal SS1 Further Mathematics tutor. Teach me the formula for the sum of the

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Quiz: The sum of the first six terms of a given geometric progression

Act as my SS1 Further Mathematics tutor and quiz me on the sum of the first six terms of a

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Practice: Finding n when the sum of a geometric progression is given

Act as my SS1 Further Mathematics tutor. Give me five practice questions on finding n when

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Explain Back: The sum of a geometric progression with a negative common ratio

I have just studied the sum of a geometric progression with a negative common ratio in my

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Finding a term given the sum of a series

I am in SS 1. I'm going to explain finding a specific term of a sequence by first finding

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Factorising the sum and difference of two cubes

I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on fact

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Worked Example: Which form of the sum formula to use when r is less than one

Act as my SS1 Further Mathematics tutor. Take me through one full worked example on which

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Deciding whether a geometric series converges

I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi

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Recurring decimals as an infinite geometric series

I am in SS 1. I'm going to explain how a recurring decimal, such as 0.777..., can be writt

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Sum of the first n odd numbers

I am in SS 1. Quiz me with 4 short Additional Maths questions on proving and using the fac

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Final Revision: Proving the sum formula for a geometric progression

Act as my SS1 Further Mathematics tutor at the end of the term. Give me a rapid recap of p

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