The next two terms of the given sequence are 20 and 23. And the the formula for finding the nth term of the given sequence is [tex]T_{n+1} = T_{n} + 3[/tex].
According to the given question.
We have a sequence 5, 8, 11, 14, 17...
Since, the first term of the given sequence is 5.
The second term of the given sequence is 8.
The third term of the given sequence is 11.
Here, we can see that each term is 3 more tahn the previous term.
So, the next two terms i.e.
Fifth term = 17 + 3 = 20
Sixth term = 20 + 3 = 23
Therefore, the formula for finding the nth term of the given sequence is given by
[tex]T_{n+1} = T_{n} + 3[/tex]
Hence, the next two terms of the given sequence are 20 and 23. And the the formula for finding the nth term of the given sequence is [tex]T_{n+1} = T_{n} + 3[/tex].
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