# Solve Pattern Brain Teaser: 3*1+3*2+3*3+3*4

• ArielGenesis
In summary, the brain teaser involves a pattern where each number is multiplied by 3 and added to the previous number, starting with 1. It can be solved by recognizing the pattern and using mental math or by using a formula. There are variations of this brain teaser that test skills such as pattern recognition, mental math, and problem-solving.
ArielGenesis
if
1*2=2*1
2*3=2*1+2*2
3*4=2*1+2*2+2*3
4*5=2*1+2*2+2*3+2*4

then
3*1+3*2+3*3+3*4=?

2 * (1 + 2 + 3 + 4 + 5)

umm. I'm sorry but i guess i suppose to rephrase the question,
?=3*1+3*2+3*3+3*4

in form of
1*2
2*3
and
3*4

5 * 6

?=3*1
?=3*1+3*2
?=3*1+3*2+3*3
?=3*1+3*2+3*3+3*4
?=3*1+3*2+3*3+3*4+3*5

ArielGenesis said:
?=3*1
?=3*1+3*2
?=3*1+3*2+3*3
?=3*1+3*2+3*3+3*4
?=3*1+3*2+3*3+3*4+3*5
1*3
3*3
3*6
5*6
5*9
7*9
7*12
9*12
etc - Good one

at, that's what i am looking for

Last edited:

## 1. What is the pattern in the brain teaser?

The pattern in this brain teaser is that each number in the equation is multiplied by 3 and then added to the previous number, starting with 1. So, the first number is 3*1=3, then 3*2=6 is added to 3, giving us 9. This continues until the last number, 3*4=12, is added to 18, giving us the final answer of 30.

## 2. How do I solve this brain teaser?

To solve this brain teaser, you can either write out the equation and add up each number or you can recognize the pattern and use mental math. In this case, the pattern is a simple multiplication by 3 and addition, so you can quickly calculate the answer as 3*5=15 and then subtract 3 to get the final answer of 30.

## 3. Can this brain teaser be solved using a formula?

Yes, this brain teaser can be solved using a formula. The equation is 3*n*(n+1)/2, where n is the number of terms in the sequence. In this case, there are 4 terms, so the formula would be 3*4*(4+1)/2 = 30.

## 4. Are there any variations of this brain teaser?

Yes, there are many variations of this brain teaser. It can involve different starting numbers, different operations (multiplication, addition, subtraction, etc.), or different patterns. It is a popular type of brain teaser because it can be easily modified to create new challenges.

## 5. What skills does this brain teaser test?

This brain teaser tests several skills, including pattern recognition, mental math, and problem-solving. It also requires focus and attention to detail in order to accurately follow the pattern and calculate the correct answer.

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