Question

The next term in the series 1,5,15,29

Answer 1

SOLUTION:- ANSWER IS:- 49

GIVEN BY SERIES :- 1,5,15,29
new series is :- 1,5,15,29,49
logical reason in this this series is:-
1 + 14 = 15
5 + 24 = 29
15 + 34 = 49

logic = 14 , 24 , 34
diffrence between :-
14 +10 = 24
24 +10 = 34

■I HOPE ITS HELP■

Answer 2

The above given series can have multiple answers for the next term of the series. For instance, one such answer can be calculated using the principle of Continuous Difference Theorem.

 

Looking at each successive two terms, their differences are calculated as follows:

 

5 – 1 = 4

15 – 5 = 10

29 – 15 = 14

 

Again, the difference between the successive differences which were previously calculated is:

 

10 – 4 = 6

14 – 10 = 4

 

We notice that this follows the decreasing multiples of two. The next multiple of two is 2. Hence, the next difference will be 16. Adding 16 to the last term of the series given in the question, we get the next term to be 45.