Math, asked by saikrishna420, 11 months ago

2,_,17 ,37, 77 ,157 find missing letter​

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Answers

Answered by snehitha2
6

Answer: The missing number is "7"

Step-by-step explanation:

Given sequence,

2,_,17,37,77,157

Let the missing number be 'a'

The difference between 157 and 77 = (157-77) = 80

The difference between 77 and 37 = (77-37) = 40

The difference between 37 and 17 = (37-17) = 20

So, the difference between 17 and the missing number should be 10 as the difference is decreased by half of the previous difference.

(17 - a) = 10

a = 17 - 10

a = 7

CHECK :

the difference between the missing number and 2 should be half of 10 i.e., 5

(a-2) = 5

a = 2+5

a = 7

Therefore, the sequence is

2,7,17,37,77,157

Hence,the missing number should be 7.

Hope it helps..!

Answered by vinod04jangid
0

Answer:

7

Step-by-step explanation:

Given:- 2,_,17,37,77,157

To Find:- the missing number

Solution:-

Let the missing number be x.

The difference between 157 and 77 is 80.

The difference between 77 and 37 is 40.

The difference between 37 and 17 is 20.

∵ the difference is getting double with each number.

So, the difference between x and 17 will be 10.

So, the missing number will be 17 - 10 = 7.

#SPJ2

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