Un = 4n - 68
If you mean: 2 4 8 16 32 64 it is 2^nth term and so the next number is 128
There is no pattern
The sequence 100, 88, 78, 70, 64, 60 is decreasing, with the differences between terms being 12, 10, 8, 6, and 4, indicating a decreasing pattern. The differences themselves decrease by 2 each time. The nth term can be expressed as ( a_n = 100 - (n-1)(12 - 2(n-2)) ), which simplifies to ( a_n = 100 - 6n^2 + 18n - 12 ).
7/8
t(n) = t(n - 1) + (10n - 9)
The GCF of 56, 60, and 64 is 4.
If you mean: 2 4 8 16 32 64 it is 2^nth term and so the next number is 128
Had it not been for 64, the nth term would be given by t(n) = 3*n2 However, this cannot be the case because then t(4) would have been 48, not 64.
n3
42
There is no pattern
square of (n x 2)
even numbers between 50 and 64= 52, 54, 56, 58, 60, & 62
The sequence 100, 88, 78, 70, 64, 60 is decreasing, with the differences between terms being 12, 10, 8, 6, and 4, indicating a decreasing pattern. The differences themselves decrease by 2 each time. The nth term can be expressed as ( a_n = 100 - (n-1)(12 - 2(n-2)) ), which simplifies to ( a_n = 100 - 6n^2 + 18n - 12 ).
The pattern for the nth term is n3. Therefore, the fourth term in the sequence is equal to 43 = 64.
7/8
The nth term in the sequence means an unspecified number an unspecified distance along the series. 8 16 32 64 128... n. It is also a shothand notation so the reader knows that the sequence continues.