Math, asked by princey9715, 1 year ago

Find the missing number in the series of 4,18,?,100,180,294,448

Answers

Answered by OfficialPk
23
2323 - 2222 =  8 - 4 = 4  

3333 - 3232 = 27 - 9 = 18 

4343 - 4242 = 64 - 16 = 48  

5353 - 5252 = 125 - 25 = 100  

6363 - 6262 = 216 - 36 = 180 

7373 - 7272 = 343 - 49 = 294 

8383 - 8282 = 512 - 64 = 448

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Answered by vinod04jangid
1

Answer:

48.

Step-by-step explanation:

Given:- The given series is 4, 18, ?, 100, 180, 294, 448.

To Find:- The missing number in the given series.

Solution:-

The given series is 4, 18, ?, 100, 180, 294, 448.

1st term = 2³ - 2²

             = 8 - 4

             = 4.

2nd term = 3³ - 3²

               = 27 - 9

               = 18

3rd term = 4³ - 4²

               = 64 - 16

               = 48

4th term = 5³ - 5²

              = 125 - 25

              = 100

5th term = 6³ - 6²

              = 216 - 36

              = 180

Since the missing term is 48.

Therefore, the series becomes 4, 18, 48, 100, 180, 294, 448.

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