Any number that you choose can be the 100th or nth number. It is easy to find a rule based on a polynomial of order 7 such that the first seven numbers are as listed in the question followed by the chosen next number in the 100th place. There are also non-polynomial solutions. Short of reading the mind of the person who posed the question, there is no way of determining which of the infinitely many solutions is the "correct" one.
However, the simplest solution here is
t(n) = 2n + 3 for n = 1, 2, 3, ...
and so t(100) = 203.
5
67
4 5 6 7 8 9 10 11 12 13
what is the surface area of the retangular priamd 13 13 13
Finding the nth term is much simpler than it seems. For example, say you had the sequence: 1,4,7,10,13,16 Sequence 1 First we find the difference between the numbers. 1 (3) 4 (3) 7 (3) 10 (3) 13 (3) 16 The difference is the same: 3. So the start of are formula will be 3n. If it was 3n, the sequence would be 3,6,9,12,15,18 Sequence 2 But this is not our sequence. Notice that each number on sequence 2 is 2 more than sequence 1. this means are final formula will be: 3n+1 Test it out, it works!
There are: 13-2 = 11 triangles
The first 6 terms would be when n is 1, 2, 3, 4, 5, and 6. And since the nth term is 3 - 4n, you would simply substitute the first six numbers for n:* n = 1; 3 - 4(1); 3 - 4; -1 * n = 2; 3 - 4(2); 3 - 8; -5 * n = 3; 3 - 4(3); 3 - 12; -9 * n = 4; 3 - 4(4); 3 - 16; -13 * n = 5; 3 - 4(5); 3 - 20; -17 * n = 6; 3 - 4(6); 3 - 24; -21 -1, -5, -9, -13, -17, -21
It is: 2n+9
205. it is not that hard to figure out. :P
The nth term is: 2n+7 and so the next number will be 19
2n + 1
The nth term is 2n+5 and so the next number is 17
It is 4n-13 and so the next number will be 11
The sequence is simply achieved by adding 2 to each value9+2=1111+2=1313+2=1515+2=1717+2=1919+2=21so the nth term can be calculatedThe value of the nth term = the value of (nth-1 term) +2.
nth term = 5 +8n
The nth term is: 5-6n
Un = 4n - 13.
The nth term is 3n+7 and so the next number will be 22
The nth term is: 3n+1 and so the next number will be 16