It is 60.
It is: -3072
It is -148.
The nth term is 5n-3 and so the next term will be 22
> since the value rises by nine at each step and the first term is 12 the formula for > the nth term is: 12+(n-1)*9 Which simplifies to Sn = 9n + 3
According to Wittgenstein's Finite Rule Paradox every finite sequence of numbers can be a described in infinitely many ways and so can be continued any of these ways - some simple, some complicated but all equally valid. Conversely, it is possible to find a rule such that any number of your choice can be the next one.The simplest rule is un = 18 - 3n
The pattern given is a geometric sequence where each term is multiplied by 2 to get the next term. To find the 20th term, we can use the formula for the nth term of a geometric sequence: ( a_n = a_1 \cdot r^{(n-1)} ), where ( a_1 ) is the first term (3) and ( r ) is the common ratio (2). Thus, the 20th term is calculated as ( a_{20} = 3 \cdot 2^{19} ). Evaluating this gives ( a_{20} = 3 \cdot 524288 = 1572864 ).
12 - 5(n-1)
The sequence 0, 3, 6, 9, 12 is an arithmetic sequence where the first term is 0 and the common difference is 3. The formula for the nth term can be expressed as ( a_n = 3(n - 1) ) or simply ( a_n = 3n - 3 ). This formula generates the nth term by multiplying the term's position (n) by 3 and adjusting for the starting point of the sequence.
A geometric sequence is a sequence where each term is a constant multiple of the preceding term. This constant multiplying factor is called the common ratio and may have any real value. If the common ratio is greater than 0 but less than 1 then this produces a descending geometric sequence. EXAMPLE : Consider the sequence : 12, 6, 3, 1.5, 0.75, 0.375,...... Each term is half the preceding term. The common ratio is therefore ½ The sequence can be written 12, 12(½), 12(½)2, 12(½)3, 12(½)4, 12(½)5,.....
The sequence is Un = 19 - 3n so the 20th term is 19 - 3*20 = 19 - 60 = -41
It is: -3072
It is: -3072
t(n) = 3*n
It is -148.
There is no pattern
The nth term is 5n-3 and so the next term will be 22
The sequence n plus 3 can be represented as 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, ... The 10th term of this sequence can be found by substituting n = 10 into the formula, which gives us 10 + 3 = 13. Therefore, the 10th term of the sequence is 13.