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Sequences and Series Videos 12 videos

ACT Math 3.1 Intermediate Algebra
1955 Views

ACT Math: Intermediate Algebra: Drill 3, Problem 1. Find the fifth number in the series.

ACT Math 3.2 Intermediate Algebra
320 Views

ACT Math: Intermediate Algebra Drill 3, Problem 2. Find the sixth number in the series.

ACT Math 4.2 Pre-Algebra
390 Views

ACT Math: Pre-Algebra Drill 4, Problem 2. What is the fourth term in the series?

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SAT Math 2.1 Numbers and Operations 218 Views


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Description:

SAT Math 2.1 Numbers and Operations. How many dots will be in the 6 th term of this sequence?

Language:
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Transcript

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...

00:30

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

00:33

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

00:39

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

00:45

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

00:51

…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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