Question

Copy and complete each table.

Answer 1

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,

$T_{2}-T_{1}$ = -3 - 2

           = -5

Similarly, $T_{3}-T_{2}=-8-(-3)$

                            = -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, $T_{n}$ = a + (n - 1)d  [n = input value]

$T_{n}$ = 2 + (n - 1)(-5)

    = 2 - 5n + 5

    = -5n + 7

5th term of this sequence,

$T_{5}=2+(5-1)(-5)$

    = 2 - 20

    = -18

Therefore, 5th term of sequence = -18

                  nth term of the sequence = -5n + 7