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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
Three prompts in each subject are free to try. One subscription opens every subject and every prompt in senior secondary, or subscribe your whole school. Already have a code? Enter it here.
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562 prompts matching "Practice: Showing that a statement is a tautology"

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

Power set of a three-element set

I am in SS 1. I'm going to explain listing the full power set of a three-element set, incl

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De Morgan's laws for sets

I am in SS 1. Teach me De Morgan's laws for sets, (A union B)' = A' intersection B' and (A

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Finding the nth term of an arithmetic sequence

I am in SS 1. I'm going to explain finding the nth term formula of an arithmetic sequence,

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Finding the common difference from given terms

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

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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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Finding the common ratio from given terms

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

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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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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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Word problem: arithmetic sequence in a savings context

I am in SS 1. Teach me a real-life word problem modelled by an arithmetic sequence, such a

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Word problem: geometric sequence in a growth context

I am in SS 1. Quiz me with 3 short Additional Maths questions on a real-life word problem

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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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Solving for x when three terms are in arithmetic progression

I am in SS 1. I attempted an Additional Maths question on finding the value of x given tha

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Mixed sequence exam question, arithmetic and geometric

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

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Deriving the arithmetic series sum formula

I am in SS 1. Quiz me with 4 short Additional Maths questions on how the formula Sn = n/2

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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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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 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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Comparing arithmetic and geometric growth over time

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

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Finding which term of a sequence equals a given value

I am in SS 1. Teach me finding which term number in an arithmetic or geometric sequence is

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Series exam question with show all working

I am in SS 1. I'm going to explain a full Cambridge/Additional Maths style series question

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