Question

Write a recursive formula for the sequence below. Use the variable "n" for your formula in your answer.

Answer 1

Answer:

$\begin{cases}a_1 = 2\\\\a_{n} = -4*a_{n-1}\end{cases}$

============================================

Explanation:

The first line of the answer says "the first term is 2".

The second line says "take any term and multiply by -4 to get the next term".

The $a_n$ represents the nth term while $a_{n-1}$ is the term just before it.

The second line shown above is the same as writing $a_{n+1} = -4*a_n$

---------------

The -4 is found by dividing any term over its previous one

-8/2 = -4

32/(-8) = -4

-128/32 = -4

512/(-128) = -4

This shows the common ratio is -4 and this sequence is geometric.

Answer 2

What huh who?








how do u know huh?