Question

An=n(n-2)/2 with explanation pls ​

Answer 1

Question: Write next 5 terms of Ap whose nth term is An=n(n-2)/2

Solution:-$\tt \: an = n( n + 2) \\ \tt \: = n² + 2n$

1st term = a₁ $\tt \: = (1)² + 2(1) = 1 + 2 = 3$

2nd term = a₂ $\tt \: = (2)² + 2(2) = 4 + 4 = 8$

3rd term = a₃ $\tt \: = (3)² + 2(3) = 9 + 6 = 15$

4th term = a₄$\tt \: = (4)² + 2(4) = 16 + 8 = 24$

5th term = a₅ $\tt \: = (5)² + 2(5) = 25 + 10 = 35$

$\sf \: @WildCat7083$

Answer 2

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