It is possible to find a polynomial of degree 5 such that it can be made to fit the pattern of the above five numbers and any number at all that is chosen to be the eighth.
However, the simplest polynomial of degree 4 is
Un = 36n4 - 336n3 + 1128n2 - 1568n + 741 for n = 1, 2, 3, ...
and accordingly, the 8th term is 35,813.
It is 917969.
To find the 8th term of the pattern, we first need to identify the pattern itself. Looking at the numbers given, we can see that each subsequent number is obtained by multiplying the previous number by 5 and then subtracting 1. So, the pattern is: 3, 35-1=14, 145-1=69, 695-1=344, 3445-1=1719. Continuing this pattern, the 8th term would be 6249.
90
Well, darling, the sequence you've got there is just the perfect squares of numbers. The 8th term would be the square of the 8th number, which is 64. So, the 8th term of the sequence 1, 4, 9, 16, 25 is 64. Keep those brain cells sharp, honey!
It is: 1 1 2 3 5 8 13 and 21 which is the 8th term
654
77
To find the 8th term in the sequence 15, 24, 42, 78, 150, we first identify a pattern in the differences between consecutive terms. The differences are 9, 18, 36, and 72, which suggest that the differences themselves are doubling (approximately). Continuing this pattern, the next differences would be 144 and 288. Thus, the 6th term would be 150 + 144 = 294, the 7th term would be 294 + 288 = 582, and the 8th term would be 582 + 576 = 1158. Therefore, the 8th term is 1158.
It is 917969.
To find the 8th term of the pattern, we first need to identify the pattern itself. Looking at the numbers given, we can see that each subsequent number is obtained by multiplying the previous number by 5 and then subtracting 1. So, the pattern is: 3, 35-1=14, 145-1=69, 695-1=344, 3445-1=1719. Continuing this pattern, the 8th term would be 6249.
The formula is 6n + 7 where n is the nth term So 8th term would be (6 x 8) + 7 = 48 + 7 = 55
If you have this series: 1,2,3,4,5,6,7,8The 8th term is 8 and the n-th term is n.But if you have this series: 2,4,6,8,10,12,14,16The 8th term is 16 and the n-th term is 2n
90
Well, darling, the sequence you've got there is just the perfect squares of numbers. The 8th term would be the square of the 8th number, which is 64. So, the 8th term of the sequence 1, 4, 9, 16, 25 is 64. Keep those brain cells sharp, honey!
It is: 1 1 2 3 5 8 13 and 21 which is the 8th term
90
1/8th