Question

what is next number in sequence 19 , 41 , 74, 120, 181​

Answer 1

Answer:

sequence is 259

Step-by-step explanation:

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Answer 2

The next number in the sequence is 259.

Given:

The sequence: 19, 41, 74, 120, 181.

To Find:

The next number in the given sequence.

Solution:

We need to find the number that comes next in the number series: 19, 41, 74, 120, 181.

We will try and find out the pattern hidden in the given series and apply the same logic to find out the required number.

Let us find the difference between the corresponding numbers of the series;

41 – 19 = 22

74 – 41 = 33

120 – 74 = 46

118 – 120 = 61

Note that:

22 + 11 = 33

33 + 13 = 46

46 + 15 = 61

i.e. we observe that on adding odd numbers starting from 11 sequentially to the difference between each pair of consecutive numbers in the given order, we will obtain the next number.

Let us assume that the required number is ‘n’.

Applying the above logic, we get:

n – 118 = 61 + 17

⇒ n = 259.

∴ The next number in the sequence is 259.

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