Write the first three terms of the following sequences defined by: $t_n=n^2+1$

Given: A sequences defined by: $t_n=n( n+2)$.

To do: To write the first three terms of the given sequence.

Solution:
As given: $t_n=n^2+1$

Taking $n=1$, we get

$t_1=(1)^2+1=2$

Taking $n=2$, we get 

$t_2=(2)^2+1=4+1=5$

Taking $n=3$, we get

$t_3=(3)^2+1=9+1=10$

Hence, the first three terms are $2,\ 5$ and $10$.

Updated on: 10-Oct-2022

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