It is possible to produce a formula so that any number of your choice could be the next number. Using Occam's razor though, the simplest answer is 54.
The sequence alternates between a number and that number plus one. After 2 comes 3, after 3 comes 12, after 12 comes 13, after 13 comes 52, and after 52 comes 53. Following this pattern, the next number after 53 would be 212, as it follows 52 multiplied by 4 (the previous non-incrementing number). Therefore, the next number in the sequence is 212.
-52 + (-53) = -105
212 plus 1, times 4
The two consecutive integers that have a sum of -105 are -53 and -52.
53
52 Saturdays and 53 Sundays.52 Saturdays and 53 Sundays.52 Saturdays and 53 Sundays.52 Saturdays and 53 Sundays.52 Saturdays and 53 Sundays.52 Saturdays and 53 Sundays.52 Saturdays and 53 Sundays.52 Saturdays and 53 Sundays.52 Saturdays and 53 Sundays.52 Saturdays and 53 Sundays.52 Saturdays and 53 Sundays.
212.
There were 53 Sundays and 52 Saturdays in 2012.There were 53 Sundays and 52 Saturdays in 2012.There were 53 Sundays and 52 Saturdays in 2012.There were 53 Sundays and 52 Saturdays in 2012.There were 53 Sundays and 52 Saturdays in 2012.There were 53 Sundays and 52 Saturdays in 2012.There were 53 Sundays and 52 Saturdays in 2012.There were 53 Sundays and 52 Saturdays in 2012.There were 53 Sundays and 52 Saturdays in 2012.There were 53 Sundays and 52 Saturdays in 2012.There were 53 Sundays and 52 Saturdays in 2012.
240
The sequence alternates between a number and that number plus one. After 2 comes 3, after 3 comes 12, after 12 comes 13, after 13 comes 52, and after 52 comes 53. Following this pattern, the next number after 53 would be 212, as it follows 52 multiplied by 4 (the previous non-incrementing number). Therefore, the next number in the sequence is 212.
The next number would be 212, because the pattern is add 1 (2->3) and times by 4 (3x4=12)... so 52 add 1 = 53, so 53 x 4 =212.
212
-52 + (-53) = -105
107
212 plus 1, times 4
The pattern is: n = n + 1 n = n * 4 repeat So, 2, 3, 12, 13, 52, 53, 112, 113, 452, 453, ...
The GCF is 1.