Find the next two terms of the following sequence: $1, 3, 5, 7, . . . . .$

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Solution

Given, $t_{1} = 1, t_{2} = 3, t_{3} = 5, t_{4} = 7$
To find: $t_{5}$ and $t_{6}$
The difference between two consecutive terms is $2$ .
$t_{5} = t_{4} + 2 = 7 + 2 = 9$
$t_{6} = t_{5} + 2 = 9 + 2 = 11$
The next two terms are $9$ and $11$

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