Respuesta :
Answer:
3768068
Step-by-step explanation:
idk how i just googled a pattern analyzer
The next number in the sequence is 2420484
Given: The sequence of numbers 1, 24, 816, 3264, 12825, 651210
To find: The next number in the sequence
First we note that the number of digits in each term of the sequence increases by one and is equal to the place of the term in the sequence. So, the first term has 1 digit, the second term has 2 digits, the third term has 3 digits and so on.
The next term in the sequence should be the seventh term of the sequence and should have 7 digits.
Now, the geometric sequence starting from 1 and having a factor of 2 is given by,
1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096,...
Now, we note that the terms of the given sequence are obtained by concatenating the digits of consecutive terms of the above sequence until the required number of digits are reached.
So, the first term, which has a limit of 1 digit, becomes 1
The second term, which has a limit of 2 digits, becomes the concatenation of 2 and 4, that is, 24
The third term, which has a limit of 3 digits, becomes the concatenation of 8 and 16, that is, 816
The fourth term, which has a limit of 4 digits, becomes the concatenation of 32 and 64, that is, 3264
The fifth term, which has a limit of 5 digits, becomes the concatenation of 128 and 256. However, since the fifth term has a limit of 5 digits. So, the term becomes 12825 with the 6 being carried over to the next term.
The sixth term, which has a limit of 6 digits, becomes the concatenation of 6 (carried over from the previous term), 512 and 1024. However, since this term has a limit of 6 digits. So, the term becomes 651210 with the 24 being carried over to the next term.
So, the next term (seventh term) should be the concatenation of 24 (carried over from the previous term), 2048 and 4096. However, this term should have a limit of 7 digits. So, the term should be 2420484 with 096 being carried over to the next term.
So, the next number should be 2420484.
Learn more about patterns of numbers here:
https://brainly.com/question/14060365
