Arithmetic Problem #7

I came across this interesting algebra/ arithmetic problem the other day.

$(1 \times 2 \times 3) + 2 = 8 = 2^3$
$(2 \times 3 \times 4) + 3 = 27 = 3^3$
$(3 \times 4 \times 5) + 4 = 64 = 4^3$
…

Do you think this will always work?

Hint: We can use algebra to prove this cool sequence easily.

Arithmetic Problem #7
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Arithmetic Problem #1

About

KS Teng

KS has been teaching H2/H1 Mathematics and IB mathematics for the more than 10 years. Having taught students from all various Junior Colleges, KS adapts to students' abilities and help them better understand the topics. As someone who loves to teach mathematics and sees it as a truly useful tool in life, KS seeks to enable students to appreciate math. Therefore, his tuition mission is to motivate and cultivate students to be independent and confident thinkers.

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Arithmetic Problem #7

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