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Substituting a (negative) value into a function involving a quqdratic and 1/x

Multiplication of complex numbers (in rectangular, Cartesian form)

From first three terms find common ratio, n for specified u_n  and sum terms.

Given two (not necessarily consecutive) terms in an arithmetic sequence, evaluate the common difference, first term and then apply to find sum of a number of terms.  (Working with integer terms only)

Based on first and second term of an arithmetic sequence find common difference and eighth term.

Questions used in a university course titled "Coding theory".

Ready to use as all 20 questions are stated as ready to use.

Write down the lexicographic parity check matrix and generator matrix for a Hamming code, which is the dual of a Simplex code, then determine if a given word is a codeword of the corresponding Simplex code.

Addition and subtraction of complex numbers

Rearrange to give for y = mx + c, find gradient and realise that a parallel line has the same gradient (find x_intercept)