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eimsori [14]
3 years ago
12

Write a recursive formula for the sequence -2,4,-8, 16, ...

Mathematics
1 answer:
VARVARA [1.3K]3 years ago
5 0

Answer:

a_1 = -2;~a_n = -2a_{n - 1}, ~n \ge 2

Step-by-step explanation:

The first number in the sequence, a_1, is -2.

Each number after that is the previous number multiplied by -2.

a_1 = -2

a_2 = a_1 \times (-2) = -2 \times (-2) = 4

a_3 = a_2 \times (-2) = 4 \times (-2) = -8

etc.

a_n = -2a_{n - 1}

We start by stating that a_1 = -2.

Now we need to show that for all n greater than or equal to 2, each number in the sequence is the previous number multiplied by -2.

a_n = -2a_{n - 1}

Answer:

a_1 = -2;~a_n = -2a_{n - 1}, ~n \ge 2

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