Answer:
5th term of sequence = -18
nth term of the sequence = -5n + 7
Step-by-step explanation:
Difference between successive and previous term of the output,
[tex]T_{2}-T_{1}[/tex] = -3 - 2
= -5
Similarly, [tex]T_{3}-T_{2}=-8-(-3)[/tex]
= -5
There is a common difference 'd' = (-5)
Therefore, the sequence formed will be an arithmetic sequence.
First term of the sequence 'a' = 2
Explicit formula of an arithmetic sequence, [tex]T_{n}[/tex] = a + (n - 1)d [n = input value]
[tex]T_{n}[/tex] = 2 + (n - 1)(-5)
= 2 - 5n + 5
= -5n + 7
5th term of this sequence,
[tex]T_{5}=2+(5-1)(-5)[/tex]
= 2 - 20
= -18
Therefore, 5th term of sequence = -18
nth term of the sequence = -5n + 7
