Here is a pattern made from sticks: a)How many sticks would be in pattern 6? b) How many sticks would be in pattern number n?

a) 26

b) 4n+2

Step-by-step explanation:

From the given figure it is clear that,

Number of sticks in pattern 1 = 6

Number of sticks in pattern 2 = 10

Number of sticks in pattern 3 = 14

Now,

6, 10, 14, ...

It is an AP.

Here, first term = 6

Common difference  = 10 - 6 = 4

nth term of an AP is

where, is first term and d is common difference.

So, nth term of given AP is

Now, substitute n=6 in the above equation to find the number of sticks in pattern 6.

Therefore, the number of sticks in pattern 6 is 26.

Since , therefore, the number of sticks in pattern n is 4n+2.

ok then what happened.

answer: bea's uncle is 25 years old.

step-by-step explanation:

given the equation , we can say that the variable "x" represents the age of bea's uncle. then to find his age, we need to solve for "x":

we must add 15 to both sides of the equation:

now we need to divide both sides of the equation by 3:

therefore, we can conclude that bea's uncle is 25 years old.