1, 4, 7, 10, 13, …
12
For a linear sequence (same differences) look for the difference first. E.g.7, 11, 15, 19 ...This has a difference of 4 so the first part of the rule is 4n. (the rule follows the 4 times table)Now compare the sequence to the 4 times table7, 11, 15, 19 ...4, 8, 12, 16 ...Out sequence is always 3 larger than the four times table so we adjust our rule by adding 3. So our final rule is 4n + 3.
multiply each number by 2
3 4 6 9 13 18...1....2....3....4......5
1, 4, 7, 10, 13, …
It is a finite numerical sequence and according to Wittgenstein's Finite Rule Paradox every finite sequence of numbers can be a described in infinitely many ways - some simple, some complicated but all equally valid. The simplest rule here is a cubic rule.
To find the 8th term of the sequence with the rule 3n + 4, you would substitute n = 8 into the formula. This gives you 3(8) + 4 = 24 + 4 = 28. Therefore, the 8th term of the sequence is 28.
12
one rule would be an+1 = an + 4 ; a0= 4. This gives 4,8,12,16,20,..... This is called an arithmetic sequence. A geometric rule would be an+1 = 2an; a0= 4. This gives 4,8,16,32,64,... Another rule is an+1 = an/2 + 6 ; a0= 4. This gives 4, 8, 10, 11, 11.5,11.75, ....
For a linear sequence (same differences) look for the difference first. E.g.7, 11, 15, 19 ...This has a difference of 4 so the first part of the rule is 4n. (the rule follows the 4 times table)Now compare the sequence to the 4 times table7, 11, 15, 19 ...4, 8, 12, 16 ...Out sequence is always 3 larger than the four times table so we adjust our rule by adding 3. So our final rule is 4n + 3.
What is the value of the 8th term of the sequence 4, 8, 16, 32,?what is the answers?1,024,512,128or2,048.
It is a sequence of three integers.
In algebra, the Rule of 4 is basically four different ways you can express something mathematically. For example, if I was told I had to show how to multiply -62+-8, I would show it in a Rule of 4. In the Rule of 4, there are four boxes. I would write the problem in words in the first box, then write it in numbers in the second box, in the third one I would write answer, and then write how I got the answer. P.S, the answer is 54
Add 5 each time
multiply each number by 2
3 4 6 9 13 18...1....2....3....4......5