Question

observe the pattern complete the following series ​

Answer 1

Answer: A pattern is a design or arrangement that repeats continuously. Let us identify the rule of the pattern of changing figures

Number Patterns

Did you observe the pattern in the above figure? Observing the pattern we can find the rule for given pattern. The figures show the total of the numbers up to “n”.

In the first figure, we can see that there are three dots. The 1st layer has = 1 + 2 = 3 dots

In the second figure, we can see that there are six dots. The 2nd layer has = 1 + 2 + 3= 6 dots

The third figure shows six layers and has = 1 + 2 + 3 + 4 = 10 dots

In the last figure, we can see four layers and the total numbers of dots are = 1 + 2 + 3 + 4 + 5 = 15 dots

Patterns of Figures

Number Patterns

Observe the figure given above. In the first figure, we can see that there are 4 triangles and 1 square. The second figure shows 6 triangles and 2 squares. In the third figure, we can see 8 triangles and 3 squares. The last figure has 10 triangles and 4 squares. Now can you guess the next figure?

Observing the above figures it is understood that the next figure will have 5 squares and 12 triangles. Let’s take one more example – identify the figure that will continue the series when the first and last figure is the same.

Number Patterns

Can you answer this question? In this type of questions, a picture series will be given such that the first and last figures are the same. Now we need to find the figure from the given alternatives that will continue the series.

From the above figure, we can say that the first and last figures being the same, the figure to appear next will be the same as the second figure in the given question. Thus, the answer figure will be the same as the second figure.

Number Patterns

Patterns can also be very commonly observed in numbers (series and sequences). Here are some square numbers follows a pattern:

11  = 1

111  = 121

Further

1111 = 12321

11111 = 12343211

Further

111112 = 123454321

1111112 = 1234564321 and so on.

Observe the Number Patterns

Find the next two term in the series 0, 5, 19, 15,…

Solution: We can see that in the series each of the previous numbers is added to 5 to get the new number hence the next numbers will be 15 + 5  = 20 and so 20 + 5 = 25

Calender magic

Look at the calendar given below. Let us see some magic.

Number Patterns

Can you find the total of these numbers in the box? Won’t it take some time?  The total is 90. Did it take a long time to add these numbers? Let us see how you can add these numbers and get the answer even faster. Just take the middle number and multiply it by 9. Addition of all the numbers in this square is = Middle number × 9 = 10 × 9 = 90

Answer 2

Answer:

What's the pattern ?

Next time if you want to post any question in which a picture is there please post that picture