UPSKILL MATH PLUS

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We have seen iterative processes in real life. It also can be seen in number sequences.
A number sequence is obtained by doing repetitive operation. It may increase or decrease during the process.
Let's see some examples of number sequences.
Example:
1. Add 4 with the starting number 3, you will get the number 7. Now add 4 with the resultant 7, you will get the number 11, again add 4 with the new resulting 11, this process goes on.
 
Here, adding 4 is the iterative process.
 
3 + 4, 7 + 4, 11 + 4, 15 + 4, …
 
The sequence obtained is 3, 7, 11, 16, …
 
 
2. Subtract 3 from the starting number 99, you will get the number 96. Now subtract 3 from the resultant 96, you will get the number 93, again subtract 3 from the new resulting 93, this process goes on.
 
Here, subtracting 3 is the iterative process.
 
99 - 3, 96 - 3, 93 - 3, 90 - 3, …
 
The sequence obtained is 99, 96, 93, 90, …
 
 
3. Multiply the starting number 1 by 4, you will get the number 4. Now multiply the resultant 4 by 4, you will get the number 16. Multiply the new resulting 16 by 4; this process goes on.
 
Here, multiplying 4 is the iterative process.
 
1 \times 4, 4 \times 4, 16 \times 4, 64 \times 4
 
The sequence obtained is 4, 16, 64, 256, …
 
 
4. 5, 50, 500, …
 
In this pattern, the values get increased when the number of zeroes increased.
 
 
5. 3, 9, 27, 81, …
 
This pattern is obtained by generating 3 \times 3^0, 3 \times 3^1, 3 \times 3^2, 3 \times 3^3
 
 
6. 1, 11, 111, 1111, …
 
In this pattern, the values get increased when the number of ones increased.