## Strips of colored paper are made into loops and are chained to each other as shown above.

Strips of colored paper are made into loops and are chained to each other as shown above. The color pattern begins with the first loop and proceeds from left to right as red, blue, green, green, yellow, purple. This pattern is repeated for a chain of 96 loops. If the first few loops of the chain are removed so that the new beginning loop is no longer red and the new 16th loop is blue, what color will the new 51st loop in the chain be?

## Pg 90 number 20 from Math Guide…

Pg 90 number 20 from Math Guide
After figuring out that Fantasia dates occur on multiples of 3 and Shayla dates on multiples of 6, is it an okay strategy to see that 279 is a multiple 3 and not 6 to get my answer choice? I’m a little confused about your solution.

## After the first term, each term in a sequence is k times the preceding term and p is the first term of the sequence. If the ratio of the seventh term to the third term is 16, what is a possible value of k?

After the first term, each term in a sequence is k times the preceeding term and p is the first term of the sequence. If the ratio of the seventh term to the third term is 16, what is a possible value of k?

## Can you explain number 14 in diagnostic drill 3?

Can you explain number 14 in diagnostic drill 3?
I tried solving it and i read the explanation of patterns.
i got the repeating units of the sequence which is 1,4,6,4,6,4,6
when he asked for the 53rd term should I divide 53 by 3 or 2?
I got confused because the one isn’t repeated again in the pattern.

## The first term of a certain sequence is -2 and the second term is -4. Every term after the second term is obtained by dividing the sum of the previous two terms by 2…

The first term of a certain sequence is -2 and the second term is -4. Every term after the second term is obtained by dividing the sum of the previous two terms by 2. For example, the third term of the sequence is (-4)+ (-2)/2=-3. What is the sixth term of this sequence?

A) -3

B) -27/8

C) -21/8

D) -7/4

E) -1/8

## Patternpalooza

Here’s a new quiz on patterns. For one week, it’ll be available to all site members, but then it’ll only be available to Math Guide owners. If you want the extra patterns practice, make sure you take this by 2/14 (Valentine’s Day)! How’s everyone else doing on this quiz?...

## How to deal with patterns on the SAT

broccoli fractal (source) Pattern questions on the SAT aren’t super common, but they tend to give people all sorts of difficulty when they do appear. Let’s take one apart. A farmer is planting a row of plants. He first plants 2 broccoli plants, then 3 cabbage plants, then 1 apple tree, then 2 orange trees, (more…)

## Try this hard question.

1, 7, 49, 343, … Each term in the sequence above after the first one is determined by multiplying the previous term by 7. What will be the units (ones) digit of the 96th term?   (A) 9 (B) 7 (C) 5 (D) 3 (E) 1 Answer and explanation below: Usually, when the SAT asks (more…)