Question

\(\left\{-16,1 4,1 - 1,... \right\}V Formulate

Answer 1

Answer:

a

n

=

−

16

(

−

1

4

)

n

,

n

=

{

0

,

1

,

2

,

3

,

⋯

}

Step-by-step explanation:

We have the sequence

{

−

16

,

4

,

−

1

,

⋯

}

By looking at the first three terms of the sequence, we can already see a pattern.

Starting at -16, each term has its sign reversed, and is divided by 4.

Hence the sequence can be written as:

{

−

16

,

−

16

(

−

1

4

)

,

−

16

(

−

1

4

)

2

,

⋯

}

So the formula for the

n

th term of the sequence is

a

n

=

−

16

(

−

1

4

)

n

,

n

=

{

0

,

1

,

2

,

3

,

⋯

}