9, 12,16,21,27,34,42
42 is the 7th term
9+3=12
12+4=16
16+5=21
21+6=27
27+7=34
34+8=42, the 7th term
36
To find the nth term of a sequence, we first need to identify the pattern or rule governing the sequence. In this case, the sequence appears to be increasing by 4, then 8, then 12, then 16, and so on. This pattern suggests that the nth term can be represented by the formula n^2 + n, where n is the position of the term in the sequence. So, the nth term for the given sequence is n^2 + n.
8 + 4n
The nth term is: 4n
What is the value of the 8th term of the sequence 4, 8, 16, 32,?what is the answers?1,024,512,128or2,048.
Give the simple formula for the nth term of the following arithmetic sequence. Your answer will be of the form an + b.12, 16, 20, 24, 28, ...
The 19th term of the sequence is 16.
The sequence for the expression (24 - 4n) is generated by substituting integer values for (n). For (n = 0), the term is (24); for (n = 1), it is (20); for (n = 2), it is (16); and so on. The sequence continues decreasing by 4 with each successive term, resulting in (24, 20, 16, 12, 8, 4, 0, -4, \ldots). This forms an arithmetic sequence with a first term of 24 and a common difference of -4.
To find the 100th term of the sequence 4, 8, 12, 16, we can observe that each term is increasing by 4. This is an arithmetic sequence with a common difference of 4. The formula to find the nth term of an arithmetic sequence is given by: (a_n = a_1 + (n-1)d), where (a_n) is the nth term, (a_1) is the first term, (n) is the term number, and (d) is the common difference. Substituting the values into the formula, we get (a_{100} = 4 + (100-1) \times 4 = 4 + 99 \times 4 = 4 + 396 = 400). Therefore, the 100th term of the sequence is 400.
4 10 16 22 28 34 40 ....... Each term is increased by 6 or nth term = 6n-2
Each number in the sequence is the previous number divided by 4. Therefore the 7th term starting from 1024 is 0.25. The first 8 terms are: 1024, 256, 64, 16, 4, 1, 0.25 and 0.0625.
16