SPS SPS FM Pure 2024 February — Question 4

Exam BoardSPS
ModuleSPS FM Pure (SPS FM Pure)
Year2024
SessionFebruary
TopicArithmetic Sequences and Series

4. Using standard summation of series formulae, determine the sum of the first \(n\) terms of the series $$( 1 \times 2 \times 4 ) + ( 2 \times 3 \times 5 ) + ( 3 \times 4 \times 6 ) + \ldots$$ where \(n\) is a positive integer. Give your answer in fully factorised form.
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