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what is the next number in this sequence: 1, 3, 4, 7, 11, 18, [ ] Best Answer#1 Each term is the sum of the previous two terms 11, 18 , 29, #1 Best Answer Each term is the sum of the previous two terms 11, 18 , 29, #2 what is the next number in this sequence: 1, 3, 4, 7, 11, 18, [ ] 1, 3, 4, 7, 11, 18, 29, 47, 76, 123.......etc. Each term is the sum of the previous 2 terms. 5 Online UsersContinue Learning about Other Math What are the next 2 numbers in this pattern 1 3 4 7 11 18?1, 3, 4, 7, 11, 18, 29, 47 What comes next 1 3 4 7 11 18 29?It is: 47 because 18+29 = 47 What is the nth term of 1 3 4 7 11 18 29?1 3 4 7 11 18 29 47 76 123 199 .......and so on Add together the previous two terms to find the next term i.e 1+3=4, 3+4=7, 4+7=11 What number comes next in this sequence 1 3 6 11 18 29?42 is the next number in this sequence. This number sequence is adding the next prime number to the last number. So 1 + 2 = 3. Then 3 + 3 = 6, 6 + 5 = 11, 11 + 7 = 18, 18 + 11 = 29. The next prime number after 11 is 13, so 29 + 13 = 42. The next numbers would be 59 (42+17), 78 (59+19), and 101 (78+23) What is the next number in the sequence 3-4-7-11-18-29?47, you add the two previous numbers together: 3+4=7 4+7=11 7+11=18 18+29=47.
Question 639064: What comes next in the sequence: 1, 3, 4, 7, 11 ...... Answer by MathLover1(19884) You can put this solution on YOUR website! To find a missing number in a Sequence, first we must have a Rule SequenceA Sequence is a set of things (usually numbers) that are in order. Each number in the sequence is called a term (or sometimes "element" or "member"), read Sequences and Series for a more in-depth discussion. Finding Missing NumbersTo find a missing number, first find a Rule behind the Sequence. Sometimes we can just look at the numbers and see a pattern: Example: 1, 4, 9, 16, ?Answer: they are Squares (12=1, 22=4, 32=9, 42=16, ...) Rule: xn = n2 Sequence: 1, 4, 9, 16, 25, 36, 49, ... Did you see how we wrote that rule using "x" and "n" ? xn means "term number n", so term 3 is written x3 And we can calculate term 3 using: x3 = 32 = 9 We can use a Rule to find any term. For example, the 25th term can be found by "plugging in" 25 wherever n is. x25 = 252 = 625 How about another example: Example: 3, 5, 8, 13, 21, ?After 3 and 5 all the rest are the sum of the two numbers before, That is 3 + 5 = 8, 5 + 8 = 13 etc, which is part of the Fibonacci Sequence: 3, 5, 8, 13, 21, 34, 55, 89, ... Which has this Rule: Rule: xn = xn-1 + xn-2 Now what does xn-1 mean? It means "the previous term" as term number n-1 is 1 less than term number n. And xn-2 means the term before that one. Let's try that Rule for the 6th term: x6 = x6-1 + x6-2 x6 = x5 + x4 So term 6 equals term 5 plus term 4. We already know term 5 is 21 and term 4 is 13, so: x6 = 21 + 13 = 34 Many RulesOne of the troubles with finding "the next number" in a sequence is that mathematics is so powerful we can find more than one Rule that works. What is the next number in the sequence 1, 2, 4, 7, ?Here are three solutions (there can be more!): Solution 1: Add 1, then add 2, 3, 4, ... So, 1+1=2, 2+2=4, 4+3=7, 7+4=11, etc... Rule: xn = n(n-1)/2 + 1 Sequence: 1, 2, 4, 7, 11, 16, 22, ... (That rule looks a bit complicated, but it works) Solution 2: After 1 and 2, add the two previous numbers, plus 1: Rule: xn = xn-1 + xn-2 + 1 Sequence: 1, 2, 4, 7, 12, 20, 33, ... Solution 3: After 1, 2 and 4, add the three previous numbers Rule: xn = xn-1 + xn-2 + xn-3 Sequence: 1, 2, 4, 7, 13, 24, 44, ... So, we have three perfectly reasonable solutions, and they create totally different sequences. Which is right? They are all right. And there are other solutions ...
Simplest RuleWhen in doubt choose the simplest rule that makes sense, but also mention that there are other solutions. Finding DifferencesSometimes it helps to find the differences between each pair of numbers ... this can often reveal an underlying pattern. Here is a simple case: The differences are always 2, so we can guess that "2n" is part of the answer. Let us try 2n:
The last row shows that we are always wrong by 5, so just add 5 and we are done: Rule: xn = 2n + 5 OK, we could have worked out "2n+5" by just playing around with the numbers a bit, but we want a systematic way to do it, for when the sequences get more complicated. Second DifferencesIn the sequence {1, 2, 4, 7, 11, 16, 22, ...} we need to find the differences ... ... and then find the differences of those (called second differences), like this: The second differences in this case are 1. With second differences we multiply by n22 In our case the difference is 1, so let us try just n22:
We are close, but seem to be drifting by 0.5, so let us try: n22 − n2
Wrong by 1 now, so let us add 1:
We did it! The formula n22 − n2 + 1 can be simplified to n(n-1)/2 + 1 So by "trial-and-error" we discovered a rule that works: Rule: xn = n(n-1)/2 + 1 Sequence: 1, 2, 4, 7, 11, 16, 22, 29, 37, ... Other Types of SequencesRead Sequences and Series to learn about:
And there are also:
And many more! In truth there are too many types of sequences to mention here, but if there is a special one you would like me to add just let me know. What are the next two terms in the following sequence 3 4 7 11?fourth term seems to be sum of previous two terms(3+4=7). fifth term seems to be sum of previous two terms(4+7=11). So, going by this same pattern the next term should be sum pr previous two terms, that is 7+11=18. Hence 18 is the next term in the series pattern.
What do the numbers 2 3 5 7 11 and 13 all have in common?Common FAQs about prime numbers
A prime number is a number that can only be divided by itself and 1 without remainders. What are the prime numbers from 1 to 100? The prime numbers from 1 to 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
What rule will you use to find the next term in this sequence 3 7 11 15?This is an arithmetic sequence since there is a common difference between each term. In this case, adding 4 to the previous term in the sequence gives the next term.
What is the common difference of the sequence 1 3 7 11?The given series is -1, 3, 7, 11,…… Let's check if the series is an AP. Similarly we see between the other terms that the common difference is 4 so, this series is an AP.
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What come next in the sequence 1 3 4 7 11?
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