Write the first five terms of the sequence whose n^ th term is a_… - Vidyadip

Question

Write the first five terms of the sequence whose $n^{th}$ term is $a_n = n (n + 2)$

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Answer

Given: $a_n = n(n + 2)$
Putting n = 1, 2, 3, 4 and 5, we get,
$a _ { 1 } = 1 ( 1 + 2 ) = 1 \times 3 = 3$
$a _ { 2 } = 2 ( 2 + 2 ) = 2 \times 4 = 8$
$a _ { 3 } = 3 ( 3 + 2 ) = 3 \times 5 = 15$
$a _ { 4 } = 4 ( 4 + 2 ) = 4 \times 6 = 24$
$a _ { 5 } = 5 ( 5 + 2 ) = 5 \times 7 = 35$
Therefore, the first five terms are 3, 8, 15, 24 and 35.

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