Given the sequence -1, 2, -4, 8.... What is the 10th term? Write the number only.

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- anonymous

Given the sequence -1, 2, -4, 8.... What is the 10th term? Write the number only.

- schrodinger

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- hybrik

This has a formula to this

- anonymous

Well first you have to find the common ratio

- Jadeishere

-1 * -2 = 2
2 * -2 = -4
-4 * -2 = 8
8 * -2 = -16
-16 * -2 = 32
you just multiply the last number in the sequence by -2 each time :)

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## More answers

- anonymous

okay

- hybrik

-16. 32, -64, 128, -256, 512 is the answer [512]

- anonymous

There actually is a formula. an = a1*r^(n-1)

- hybrik

@ComputerNerd Like i said, its a arithmetic sequence

- hybrik

It has a formula

- hybrik

a1 is the first number in sequence

- anonymous

@hybrik its actually a geometric sequence

- anonymous

Write the common ratio for the sequence: 12,6,3,\frac{3}{2},...
Write the number only.
I'm stuck on this one as well

- hybrik

"\frac{3}{2}"?

- anonymous

3/2

- hybrik

The ratio is 1/2

- hybrik

Either you can do this logically or the arithmetic sequence formula

- anonymous

Identify the 10th term for the sequence: 12,6,3,\frac{3}{2},...
Write the answer as an integer or fraction.
I'm stuck on this one as well

- anonymous

it's the same pattern as the other

- hybrik

@ComputerNerd I noticed when I was using the formula

- anonymous

XD

- hybrik

3/4, 3/8, 3/16, 3/32, 3/64, 3/128 is the answer, 3/128, by the way, Geometric sequences have to do with Multiplying/Dividing patterns, Arithmetic has to do with Adding / Subtracting

- Jadeishere

or you could just do it the easy way @Aliypop and do what I said... Lol
@ComputerNerd you don't always need to do the formula if there's a simpler way

- anonymous

@Jadeishere It's always best to know the formula. Your method is okay for terms lower in the sequence but would take too long for terms like 100th term.

- anonymous

okay

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