Question

33, 44, 57, 72, 89, ___

What will be the next term in the above pattern?

Answer 1

Answer:

108 will come as they are increasing oddly

33+11- 4 4

44+13- 57

57+15- 72

72+17- 89

89 + 19 - 108

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Answer 2

Answer:

The Correct Answer would be 108. The series would be as follows :

33 , 44 , 57 , 72 , 89 , 108.

Step-by-step explanation:

Given : The series as 33, 44, 57, 72, 89, ......

To Find : The next term of the series.

Now, looking at the series, we can observe different patterns.

44 = 33 + 11

57 = 44 + 13

72 = 57 + 15

89 = 72 + 17

This means, every term in the series is addition of previous number plus the next upcoming odd number, starting from 11. It goes like previous number + 11, then previous number + 13, again previous number + 15, and so carrying on.

Therefore, for finding the next term of the series, we will add the last term, which is 89 and the next upcoming odd number in the series, which is after 17, and that is 19.

And hence, this way we are gonna find out our desired answer. It will be :

= 89 + 19

= 108

Therefore, the correct answer is 108.

To know about trigonometric series : https://brainly.in/question/42163971

To know about lyman series : https://brainly.in/question/41923380