whats a inductive resoning and how to do it

Mathematics
Tutor: None Selected Time limit: 1 Day

5,11,18,26,

then what goes next

Sep 9th, 2015

Thank you for the opportunity to help you with your question!

answer is

35

the difference is added by one and so on

11-5 =6

18-11=7

26-18=8

35-28 = 9

and  difference is added by one and the series goes on


Please let me know if you need any clarification. I'm always happy to answer your questions.....thank you
Sep 9th, 2015

but whats next after 35 I need the four numbers and thanks for helping me out


Sep 9th, 2015

still don't get how to do it im confused

Sep 9th, 2015

sorry...i was offline


the next four numbers are

35,45,56,,68,81,95 ........and so on

Sep 9th, 2015

the trick is very simple


you should add one with the previous difference

5,11,18,26,

for example

take the first two numbers 5 and 11

the difference of the numbers = 11- 5 = 6 

6 is the difference , 

add 1 with it

so,6+1 = 7


now to get the third number add this 7 with the highest number

so,

11 + 7 = 18

so it will become 5,11,18..............

to find the next number find the last differnce

18-11=7

add 1 with it as done befors

7+1 = 8


now add this 8 with the highest number(last number)

so it will become

18+8 = 26


thus it became 5,11,18,26.......


similarly,to find the next number

take differnce = 26 -18 = 8

add 1 with it

8+1 = 9

add this 9 with the highest number

so,26+9 = 35


thus it became 5,11,18,26,35................



imilarly,to find the next number

take differnce = 35 -26 = 9

add 1 with it

9+1 = 10

add this 10 with the highest number

so, 35 +10 = 45


thus it became 5,11,18,26,35,45...........



you can proceed in this way and get 

45+11= 56                      

56+12=68

68+13=81

81+14=95                    ( note that we are adding 1 to the difference( 11,12,13,14) and adding it the last number(highest number)




answer is

      5,11,18,26,35,45,56,,68,81,95.....................and so on



Sep 9th, 2015

thanks a lot your such great help


Sep 9th, 2015

you are welcome

if you have any new questions...please assign me

thank you

Sep 9th, 2015

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Sep 9th, 2015
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Sep 9th, 2015
Dec 10th, 2016
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