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Further proof formulae

The one result the further proof notes display, with the conditions it needs to be true and a link to the lesson that states it. It is a working line the notes build in front of you rather than a standard result to memorise.

Further Maths · 1 lesson with formulae.

A result the Edexcel formulae booklet prints is marked as such; one it does not print is marked to learn; and a result badged derived in the lesson is a working line the notes build in front of you rather than a standard result to memorise.

Proof by induction: sums and series

true for n=1, and true for k+1 whenever true for k\text{true for } n = 1, \text{ and true for } k + 1 \text{ whenever true for } kNOT IN THE BOOKLET: DERIVED IN THE LESSONConditionsBoth parts are needed: the base case proved outright, and the k + 1 case derived from the assumption at k rather than asserted.

Every formula in the library is indexed by unit on the equation index, and the further proof notes are where this result is derived and used.

Also: Mechanics formulae · Complex numbers formulae