Prove that $1+4+7+\dots+(3n-2) = \frac{n(3n-1)}{2}$… |

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Prove that $1+4+7+\dots+(3n-2) = \frac{n(3n-1)}{2}$… | | Notely

Q12Short4 marks2024 · Annual

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1+4+7+\dots+(3n-2) = \frac{n(3n-1)}{2}

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Topics and outcomes this question is testing.

Find the sum of: first n natural numbers (∑n), squares of first n natural numbers (∑n²), cubes of first n natural numbers (∑n³).

Describe a mathematical argument, identify the base case, induction of hypothesis and a precise conclusion.

Apply the principle of Mathematical Induction to prove statements, identities, divisibility of numbers and summation formulae.

Flashcards, MCQs and other questions linked to this one appear here as they are added.

Topics and outcomes this question is testing.

Find the sum of: first n natural numbers (∑n), squares of first n natural numbers (∑n²), cubes of first n natural numbers (∑n³).

Describe a mathematical argument, identify the base case, induction of hypothesis and a precise conclusion.

Apply the principle of Mathematical Induction to prove statements, identities, divisibility of numbers and summation formulae.