Question

⭐️ Brainliest for correct answer only ( step by step explanation )

4
8 12
16 20 24
28 32 36 40
....... .......... ..........
....... .......... ..........
(a) Write next two lines this pattern? (b) Find the first and last number of 11th row?

Answer 1

Answer:

a) 44 48 52 56 60

64 68 72 76 80 84

U can make this series by adding 4 in every term..... And increase one digit in every row...

b) first no. Of 11th row = 224

Last no. Of 11th row = 264

Hope this helps u....

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Answer 2

$\huge\star{\green{\underline{\mathfrak{Answer :-}}}}$

Given Pattern:

4

8 12

16 20 24

28 32 36 40

....... .......... ..........

....... .......... ..........

$\rule{200}2$

To Find:

(a) Write next two lines this pattern?

(b) Find the first and last number of 11th row?

$\rule{200}2$

Solution:

Solving first part of the question.

For this, we need to look closely at the pattern given and then complete the pattern.

We see that, in every line the pattern is is of adding 4 numbers in the preceding numbers to get the succeeding numbers.

Example: 8+4=12.

$\rule{200}1$

The other thing we observe in the pattern given is: the number at the top which is 4 is doubled (resultant number = 8) which is when added to four itself and is written diagonal to the number 4. The resultant number which is written diagonally is 12.

Further, as we see previously be added 8 to the number 4, now we will add 4 again to 8, making it 12 which will be added to the previous resultant number 12, and so the answer will be diagonally written to the 12 is 24.

Again, 12 + 4 = 16, and 16 + 24 = 40, which is to be written diagonally to 24.

[ the pattern of adding digits is 4, 8, 12, 16, 20, 24 and so on ]

Similarly, now we see 8 in the second line, the pattern diagonally which is going here is: firstly we will add 12 diagonally here, going down diagonally will add 12 + 4 = 16, 16 + 4 = 20, 20 + 4 = 24... and so on.

[ Here, the pattern will be starts from 8 onwards ]

In the third line, we will add 16 to 16 diagonally, making result ine number 32.

[ So, the pattern of adding numbers diagonally here will be starting from 16 onwards ]

Similarly, in 4th line the pattern will start from 20 and in 5th line the pattern will start from 24.

Refer to the attachment.

$\rule{200}2$

So, the answer for the first question will be according to the rules and the pattern I explained above,

4

8 12

16 20 24

28 32 36 40

44 48 52 56 60

64 68 72 76 80 84

Firstly, you will be able to find all the numbers of 5th and 6th line except the first numbers with the help of the diagonal method I explained above.

Then, by reducing 4 from the second number you will be able to find the first number of both the lines. This can be done because there is a pattern of reducing 4 from the last number to bring out the second last and so on.

We can also fine the v and vi line by finding the last numbers and reducing 4 per number to get all the numbers in the row.

$\rule{200}2$

Now, answer for the second question of yours:

To find the last number of the 11th row in the given pattern, we need to add 24 + 4 = 28 to the last number of the 6th row that is 84, to bring the last number of seventh row. And we need to repeat this procedure to find the last number of the 11th row.

Last number of seventh row = 84 + 28 = 112

Last number of 8th row = 112 + 32 = 144

Last number of 9th row = 144 + 36 = 180

Last number of 10th row = 180 + 40 = 220

Last number of 11th row = 220 + 44 = 264

So, the last number of eleventh row will be 264.

Now, we need to find the first number of 11th row.

We observe that in every row one number is increasing.

In the first row we had one number and in the second we have two,hence we can conclude that in 11th row we will have 11 numbers.

We have got the last number.

We have observed that from the last number 4 is reduced to get the second last number.

We will use the same pattern to find the first number of the row.

There aur 9 numbers between the first and the last number of the row.

So, 9 x 4 = 36 will be reduced from the last number to get the first number of the row.

Hence, 264 - 36 = 226 is the first number of the 11th row in the pattern.

$\rule{200}4$