Mathematics

Mathematics

Problem

Given that Un=2n(n+1)U_n = 2n(n + 1), generate the first 5 terms of the sequence.
Intuitive explanation

The key here is recognizing that UnU_n is a formula that tells you exactly how to build each term—just substitute the position number nn into the expression. Since you want the first 5 terms, you'll plug in n=1,2,3,4,5n = 1, 2, 3, 4, 5 one at a time. Each substitution gives you a single number, and together they form your sequence.

Intuitive explanation

The key here is recognizing that UnU_n is a formula that tells you exactly how to build each term—just substitute the position number nn into the expression. Since you want the first 5 terms, you'll plug in n=1,2,3,4,5n = 1, 2, 3, 4, 5 one at a time. Each substitution gives you a single number, and together they form your sequence.

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