10, 14, 19, 26, 35, 48,?
Answers
Correct Question :- 10, 15, 26, 35, 50, ? . find the next term in series ?
Solution :-
we know that, Number series is a sequence of numbers which is framed, using a particular system/rule, in which the numbers are not in a specific order.
- All we have to do is to find out the system/rule that a particular series is following and finding the number using that system/rule.
Logic :- (consecutive natural numbers)² and (+1) , (-1) in series .
Explanation :-
→ 10 = 9 + 1 = 3² + 1.
→ 15 = 16 - 1 = 4² - 1 .
→ 26 = 25 + 1 = 5² + 1.
→ 35 = 36 - 1 = 6² - 1.
→ 50 = 49 + 1 = 7² + 1 .
Therefore, Next will be 8² - 1.
→ 8² - 1 = 64 - 1 = 63. (Ans.)
_________________
if we assume given series as correct :- 10, 14, 19, 26, 35, 48, ?
here, as difference is not in pattern , we will use difference tree method to solve the problem.
Refer to image for Explanation .
Therefore, the next term will be 69.
Learn more :-
13,50,?,244,425,678,1015 with explain
https://brainly.in/question/23533742
Step-by-step explanation:
Question :
10, 14, 19, 26, 35, 48,?
Answer :
The next term in the series is 69.