What is the general term of 1,2,4,7,11,16,22?

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  1. profile image47
    michaelneLaposted 7 years ago

    What is the general term of 1,2,4,7,11,16,22?

    Is there any technique how to find the general term? plsss help me.

    1. Taiwo Oluwaseye profile image62
      Taiwo Oluwaseyeposted 7 months agoin reply to this

      Addition of 1 2 3 4 5 6 7......
      1+1=2
      2+2=4
      3+4=7
      4+7=11
      5+11=16
      and so on

      1. Taiwo Oluwaseye profile image62
        Taiwo Oluwaseyeposted 7 months agoin reply to this

        6+16=22

    2. kkapkaa profile image61
      kkapkaaposted 5 days agoin reply to this

      Fibonacci Sequence

  2. L.C. Smith profile image58
    L.C. Smithposted 7 years ago

    I'm not sure if this is a mathematical question, but it looks like you have posted a series of numbers that flow in the following way:
    1+1 = 2
    2+2 = 4
    4+3 = 7
    7+4 = 11
    11+5 = 16
    16+6 = 22

    1 was added to the 1st number to get 2, that sum, 2, was added to 2, because it was the second number, to get 4.  The sum of 4 was added to 3, because it was the third number, to get 7.  Yada, yada, yada...

    1. GoldyIndian profile image61
      GoldyIndianposted 3 years agoin reply to this

      I got suitable formulea for nth term and sum this type sequence and more sequence
      1+2+4+7+11+16+22.......

  3. profile image47
    michaelneLaposted 7 years ago

    yah, but what is the exact formula to come up with this kind of problem.. thank you for your answer. ^^

  4. profile image52
    mathman32503posted 7 years ago

    To find the nth term of the sequence:

    0.5*n^2 - 0.5*n + 1

    If we look at the difference between successive terms, we see that the differences are not the same - so a linear function will not work.

    1  2  3  4  5  6   

    But if we look at the difference between successive differences (second-order differences, if you will), we see that these are the same - so a quadratic function will work.

    1  1  1  1  1  1     

    To find the function, I looked for some pattern.  I listed the triangular numbers (1 3 6 10 15 21 27); the nth triangular number is the sum of the positive integers less than or equal to n.  It appears as though the nth term of the sequence is adjusted down (by differing amounts) from the triangular number.  Specifically, to find the nth term, we subtract (n-1) from the nth triangular number. 

    This yields:

    (Sum of numbers 1 through n) - (n-1)

    = 0.5(n)(n+1) - n + 1               

    = 0.5*n^2 + 0.5*n - n + 1         

    = 0.5*n^2 - 0.5*n + 1

    I know that I've merely given you my thought process rather than a hard, fast method to be applied every time.  All I can say is that finding the nth term is like solving any other problem type: you get better with experience.  You build an intuition. 

    I hope this helps.

    1. GoldyIndian profile image61
      GoldyIndianposted 2 years agoin reply to this

      This is formula regarding to error method

  5. GoldyIndian profile image61
    GoldyIndianposted 4 years ago

    I have exact formulae
    But first I will regist it
    1+2+4+7+11+16+........
    Cool my all Maths expert

  6. gmwilliams profile image85
    gmwilliamsposted 3 years ago

    https://usercontent1.hubstatic.com/11947130_f260.jpg

    I would call this a sequential equation e.g. 1,2,4,7,11,16,22, 29.  You see:
    1+1=2
    2+2=4
    4+3=7
    7+4=11
    11+5=16
    16+6=22
    22+7=29.....and 29+8=37, 37+9=46, the main component is adding sequential numbers to the equation.

  7. androidfan profile image69
    androidfanposted 3 years ago

    The simple formula of this number series is like that:-

    1st Digit + 1= 2nd Digit,
    2nd Digit + 2= 3rd Digit.
    3rd digit + 3= 4th Digit.

    So, Nth Digit = (N-1)th Digit + (N-1): It is the formula.

    So, if n=5, then the 5th Digit = (5-1)th Digit+(5-1)
                                                = 4th Digit + 4
                                                = 7+4= 11.

    1. GoldyIndian profile image61
      GoldyIndianposted 3 years agoin reply to this

      What is sum formulea Of this type sequence
      I got nth term formulea and sum formulea

  8. Soleman Ali profile image61
    Soleman Aliposted 2 years ago

    1+1=2
    2+(1+1)=4
    4+(1+2)=7
    7+(1+3)=11
    11+(1+4)=16
    16+(1+5)=22
    22+(1+6)=29

  9. crowsnest profile image59
    crowsnestposted 18 months ago

    Xn = X(n-1) + (n-1) is the formula you are looking for.

    Where Xn is the nth (or general) term of the sequence.
    So, X(n-1) is the term directly before Xn.
    And (n-1) is just the integral value of n minus 1.

    Example: n=5
    Xn = 11
    X(n-1) = 7
    n-1 = 5-1 = 4

    So using the formula, 11 = 7 + 4

  10. profile image59
    arash prkposted 12 months ago

    1+0=1   1+1=2   1+3=4    ...

    general rule is :

    (n(n-1))/2+1

  11. Taiwo Oluwaseye profile image62
    Taiwo Oluwaseyeposted 10 months ago

    1 2 4 7 11 16 22

    1st difference:  0 1 2 3 4 5 6 7.........

    1+0=1
    1+1=2
    2+2=4
    4+3=7
    7+4=11
    11+5=16
    16+6= 22
    22+7= 29

    And so .....

  12. MarieLB profile image82
    MarieLBposted 9 months ago

    next comes 29
    Each time you add up one more than the last time.
    So  to the first no ie:  1  you add 1
    Then you add 2,3,4,5,6,7

  13. profile image59
    Oluwaseyetposted 9 months ago

    Yes there is a technique it is called Quadratic Sequence

                                                     1,2,4,7, 11, 16,22


    Difference 1 2 3 4 5 6
    0+1=1
    1+1=2
    2+2=4
    3+4=7
    4+7=11
    5+11=16
    6+16=22
    7+22=29
    8+29=37
    And so on

  14. soumya reddy profile image61
    soumya reddyposted 7 months ago

    1,2,4,7,11,16,22 next one is 29. check it once http://bit.ly/2pHf8sk

 
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