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3 years ago

5

Find the nth term of this quadratic sequence 4 9 16 25 36

1 answer:

TEA [102]3 years ago

3 0

Answer:

<h2> aₙ = n² + 2n + 1</h2>

Step-by-step explanation:

a₁ = 4 = 2² = (1 + 1)²

a₂ = 9 = 3² = (2 + 1)²

a₃ = 16 = 4² = (3 + 1)²

a₄ = 25 = 5² = (4 + 1)²

a₅ = 36 = 6² = (5 + 1)²

Therefore:

<u>aₙ = (n + 1)² = n² + 2n + 1</u>

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