Question

20 POINTS!

Find an equation for the nth term of the sequence.

-1, -4, -16, -64, ...

Answer 1

-65536

-1 x 4= -4

-4 x 4= -16

-16 x 4= -64

-64 x 4= -256

-256 x 4= -1024

-1024 x 4= -4096

-4096 x 4= -16384

-16384 x 4= -65536

Answer 2

an = 4 • -1^n

Explanation:

Substitute in the value of n to find the n th term.

a 2 = 4 ⋅ ( − 1 2 ) One to any power is one. a 2 = 4 ⋅ ( − 1 ⋅ 1 )

Multiply − 1 by 1 .

a 2 = 4 ⋅ − 1

Multiply 4 by − 1 .

a 2 = − 4