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Sequences and Series Videos 12 videos

ACT Math 3.1 Intermediate Algebra
1956 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 1.5 Numbers and Operations 208 Views


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Description:

SAT Math 1.5 Numbers and Operations. How many dots would be in the 5 th term of this sequence?

Language:
English Language

Transcript

00:02

Here's an unshmoopy question you'll find on an exam somewhere in life...

00:06

These are the first three terms in a sequence.

00:09

How many dots would be in the 5th term of this sequence?

00:12

Here are the potential answers...

00:17

To solve this problem, we can either draw a ton of dots... or go the number route.

00:23

First term: a column of 1, which means 1 dot total.

00:27

Second term: columns of 1, 3, 1, or 5 dots total.

00:32

Third term: columns of 1, 3, 5, 3, 1, or 13 dots total.

00:37

See the pattern yet?

00:40

Fourth term: columns of 1, 3, 5, 7, 5, 3, 1, or 25 dots total.

00:46

Fifth term: columns of 1, 3, 5, 7, 9, 7, 5, 3, 1...

00:51

When we add all the numbers, we get 41.

00:54

So the correct answer is (D).

00:55

As in, "Dot overload."

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