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 ).
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
0.5
t(n) = t(n - 1) + (10n - 9)
Un = 4n - 68
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
0.5
square of (n x 2)
It is the squares in decreasing order from 102: 100 = 102 81 = 92 64 = 82 49 = 72 etc So it will continue with 62, 52, 42, ... The nth term is given by tn = (11 - n)2
The pattern for the nth term is n3. Therefore, the fourth term in the sequence is equal to 43 = 64.
So say that 60 out of 64 is what you got in a test, that's 60/64, which gives you 0.9375. Multiply that by 100(%) = 93.75%
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.