Question

here ur questions 1)19,24,31,42,55,72,?.2)10,58,105,?,196,240,....

Answer 1

hey mate.
here's the solution

Answer 2

Answer:

First series is : 19,24,31,42,55,72, 91 Second series is : 10, 58, 105, 151, 196, 240

Step-by-step explanation:

Series 1 )

Given,

1 ) 19 , 24, 31, 42, 55, 72, ?

Taking first two terms 19,24

24 - 19 = 5

Similarly for next two terms,

31 - 24 = 7

42 - 31 = 11

55 - 42 = 13

72 - 55 = 17

So,

We observe that the difference of two consecutive numbers in series is a prime number

So , the next prime number after 17 will be 19

Let the next number in series be x

x - 72 = 19

x = 72 + 19

x = 91

Hence, the next term in sequence is 91

19,24,31,42,55,72, 91

Series 2 )

Given,

10, 58, 105, ?, 196, 240

Taking first two terms of series 10, 58

58 - 10 = 48

Similarly for next two terms,

105 - 58 = 47

So, the difference between two consecutive numbers in series is the consecutive numbers in descending order starting from 48

Let the next number in series be x

Also,

Next difference will be 46

x - 105 = 46

x = 46 + 105

x = 151

In order to verify , we will check the next difference and that should be 45

So,

196 - 151 = 45

Also,

240 - 196 = 44

Hence,

The missing number in series is 151

10, 58, 105, 151, 196, 240