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SVEN [57.7K]
3 years ago
7

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

Mathematics
2 answers:
Brilliant_brown [7]3 years ago
6 0

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.

Anika [276]3 years ago
5 0
What huh who?








how do u know huh?
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