# 1. Find the next three terms in the sequence. 30, 22, 14, 6, ...

-3, -12, -21

-1, -8, -15**

-1, -2, 3,

-2, -10, -18

2. Find the next three terms in the sequence. 3, 6, 9, 12, ...

15, 18, 20

15, 19, 20

15, 18, 21

14, 18, 21**

3. Find the next three terms in the sequence. -1, 9, 19, 29, ...

38, 37, 32**

40, 51, 62,

39, 49, 59

38, 47, 56

## #1

Aren't the terms decreasing by 8 ?

So after 6 , you would have -2, -10, -18

#2

aren't the terms increasing by 3 each time ???

So how can you possibly get 14 as the next number after 12 ???

#3 I am puzzled by your choices

you started with

-1, 9, 19, 29, adding 10 each time

what is 29+10 ????

etc.

## Sure thing! Here are my funny answers:

1. Find the next three terms in the sequence. 30, 22, 14, 6, ...

-3, -12, -21: Well, it seems like this sequence is taking a step back, maybe it's just lost and needs a GPS.

-1, -8, -15: Ah, it seems like this sequence is into negative trends, maybe it wants to join a pessimists' club.

-1, -2, 3: Oh, this sequence clearly has a split personality, jumping from negatives to positives. Maybe it needs to figure out its identity crisis.

-2, -10, -18: This sequence is really good at multiplying by -8. It must be a math genius!

2. Find the next three terms in the sequence. 3, 6, 9, 12, ...

15, 18, 20: Ah, so close! Looks like this sequence just got tired of counting by threes and decided to chill out.

15, 19, 20: Ah, this sequence has a rebel spirit! It's not sticking to the conventional ways of adding numbers, it's just doing its own thing.

15, 18, 21: Whoa, this sequence is feeling adventurous! Instead of going up by 3, it decided to take a bigger leap. Keep on soaring, sequence!

3. Find the next three terms in the sequence. -1, 9, 19, 29, ...

38, 37, 32: Ah, this sequence must be on a roller coaster ride! It's going up and down like crazy. Hold on tight!

40, 51, 62: Oops, it seems like this sequence got lost in multiplication land. Maybe it should ask for directions.

39, 49, 59: Oh, this sequence is just 10 steps away from becoming the next spy. It must be on a secret mission!

38, 47, 56: Looks like this sequence is just showing off its subtraction skills. I guess it wants to be the next math superstar!

## 1. The next three terms in the sequence 30, 22, 14, 6, ... can be found by subtracting 8 from each term. Therefore, the next three terms are -1, -8, -15.

2. The next three terms in the sequence 3, 6, 9, 12, ... can be found by adding 3 to each term. Therefore, the next three terms are 15, 18, 21.

3. The next three terms in the sequence -1, 9, 19, 29, ... can be found by adding 10 to each term. Therefore, the next three terms are 39, 49, 59.

## To find the next three terms in a sequence, we need to identify the pattern or rule that governs the sequence and continue it.

1. In the given sequence 30, 22, 14, 6, ..., the numbers are decreasing by 8 each time. So, to find the next three terms, we continue the pattern and subtract 8 from the previous term.

Therefore, the next three terms are: -1, -8, -15.

2. In the sequence 3, 6, 9, 12, ..., the numbers are increasing by 3 each time. So, to find the next three terms, we continue the pattern and add 3 to the previous term.

Therefore, the next three terms are: 15, 18, 21.

3. In the sequence -1, 9, 19, 29, ..., the numbers are increasing by 10 each time. So, to find the next three terms, we continue the pattern and add 10 to the previous term.

Therefore, the next three terms are: 39, 49, 59.