Question

101,105,114,139,188.?​

Answer 1

Step-by-step explanation:

$101 + 4({2}^{2}) = 105 \\ 105 + 9 ({3}^{2}) = 114 \\ 114 + 25({5}^{2}) = 139 \\ 139 + 49({7}^{2}) = 188 \\ 188 + 121( {11}^{2} ) = 309$

plz mark me as brainliest

Answer 2

Answer:

The answer to the question is:-

101,105,114,139,188,309

Step-by-step explanation:

From the given data of this question, we got an unknown series of numbers like 101,105,114,139,188.

We should notice the difference between these numbers, if we calculate the difference between those numbers, we will get that: -

105-101=4

114-105=9

139-114=25

188-139=49

If we notice the difference between the series of these numbers will not that

These differences will be equal to the square of odd natural numbers like

2²=4,

3²=9,

5²= 25,

7²= 49.

So, we can assume that next number of this series will be more

11²= 121 than the last number 188

So the answer of the question is:-

101,105,114,139,188,188+121=309

This is the required solution of this question.

To know more about this type of Math's Puzzle

visit this link:-

https://brainly.in/question/7212541

#SPJ3