ShmoopTube

00:03

Hope you left room for an extra helping of Shmoop.

00:06

How many dots will be in the 6th term of this sequence?

00:10

And here are the potential answers:

00:14

Oh look! We're building bigger and bigger triangles!

00:17

Looks like there's a pattern here...

00:24

So from the first dot to the second picture...we have columns of 1 dot and 3 dots...

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…from the second to the third...we get columns of 1, 3, and 5 dots...

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So it looks like we're increasing the number of dots in each column by 2 as we go from term to term.

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So the fourth term will have columns of 1, 3, 5, 7…for 16 dots total…

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The fifth term will have columns of 1, 3, 5, 7, 9… or 25 dots total…

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…and the sixth term will have columns of 1, 3, 5, 7, 9, 11…or 36 dots total.

00:57

Answer's E.

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