Question

Look at the following pattern And explain them in your own words

1:3,7,11,15

2:1,4,9,16​

Answer 1

In the first pattern, the sequence starts with the number 3, and then each subsequent number is obtained by adding 4 to the previous number. So the sequence goes:

3, 7, 11, 15, 19, 23, 27, ...

We can see that the pattern is that each term is obtained by adding 4 to the previous term. We can also observe that each term is an odd integer, with the first term being 3 and each subsequent term being 4 more than the previous term.

In the second pattern, the sequence starts with the number 1, and then each subsequent number is obtained by squaring the previous number. So the sequence goes:

1, 4, 16, 256, ...

We can see that the pattern is that each term is obtained by squaring the previous term. We can also observe that each term is a perfect square, with the first term being 1 and each subsequent term being the square of the previous term.

Answer 2

Answer: The given pattern is an arithmetic sequence in which the constant number is added to the number repeatedly to form a sequence. And the second sequence represents the square of the numbers.

Explanation:

The given pattern is an arithmetic sequence in which the constant number is added to the number repeatedly to form a sequence.

In the first pattern

1:3,7,11,15

the difference between 3 & 7 is 4, in the same way, the difference between 11 & 7 is also 4, and 15 and 11 are also 4 if we predict the next value then it will be 19.

and

In the second pattern

2:1,4,9,16

this second sequence represents the square of the numbers that is 1^2=1

2^2=4

3^2=9

4^2=16

then we can say that the next number of the sequence is 25.

2:1,4,9,16,25,...