ShmoopTube

00:02

Put this in your calculator and shmoop it...

00:04

In a sequence, each subsequent term, n, is determined by the formula t sub n equals the

00:11

quantity t sub n minus 1 squared.

00:14

If the first term is the square root of x, what is the fourth term?

00:18

And here are the potential answers...

00:24

This one is just a "fill in the missing numbers of the pattern" problem,

00:27

but, we have to figure out what the pattern actually is...

00:32

So the formula for the pattern is t sub n equals t sub n minus 1 squared.

00:37

Hmm, lot of variables to just say: "any term equals the term before it squared."

00:42

The first number is given.

00:43

All we have to do is find the next numbers in the pattern.

00:47

The first number, squared, should give us the second number of the pattern.

00:51

The square root of x squared equals x.

00:54

The second number squared equals the third number.

00:57

X squared equals...x squared.

01:00

And the third number squared equals the fourth number.

01:03

Remember your exponent rules here... when an exponent is being raised

01:06

to another power, multiply the two powers together.

01:09

So x squared squared equals x to the power of 2 times 2, which is x to the power of 4.

01:16

So D is the correct answer.

01:33

Man... we would kill it playing Simon...

Full Transcript