please help and please don't scam
Answers
Answer:
they are not squares only rectangles... if it is the problem of the picture then...
if it is a tricky question then the answer is 0 otherwise i think it is like 5, 9,13...then the 10th one is 41
Answer:
- There will be 31 boxes in the 10th figure
Step-by-step explanation:
Assuming that the question is about finding the number of boxes in the 10th figure where each box is counted once.
Let's try to understand the pattern involved with the number of boxes in each figure.
- In figure 1, there are 4 boxes.
- In figure 2, there are 7 boxes.
- In figure 3, there are 10 boxes.
Clearly this is forming an arithmetic sequence ( AP ).
AP is a sequence of numbers in which common difference between two consecutive terms is always constant throughout the whole progression.
i.e.
a2 - a1 = a3 - a2 = a4 - a3 and so on where an is denoting nth term.
By the concept of AP, nth term of an AP is given by,
=> an = a + ( n - 1 ) d
Here,
- a = First term
- d = Common difference
- n = Number of terms
- an = nth term
By substituting the known values in the above mentioned equation, we get the following results :
=> a10 = 4 + ( 10 - 1 ) ( 3 )
Here, we are finding the 10th term to find the number of boxes in 10th pattern.
=> a10 = 4 + (9)(3)
=> a10 = 4 + 27
=> a10 = 31
So there will be 31 boxes in the 10th figure.