Question

complete the series 20 35 60 105 190 ?​

Answer 1

Answer:

${\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{355✌}}}}}}}}}}}}}}}}}}}$

For steps Refer to above attachment

Answer 2

Given,

A series with mathematical relation.

To Find,

The next number in the series.

Solution,

Let the next number be $x$.

Thus given series is 20 35 60 105 190 $x$

From the given series, it can be deduced that the first difference between the numbers in the given series is as below :

$35 - 20 = 15, 60 - 35 = 25, 105 - 60 = 45, 190 - 105 = 85$

Similarly, the second difference between the above is as below :

$25 - 15 = 10, 45 - 25 = 20, 85 - 45 = 40$

Thus from the above second difference, it can be deduced that the next number would be double the previous number. Therefore the next number will be $80$.

Now if we add $80$ to the difference from the first difference, that is $85$, we will get $80+85 = 165$, which will be the difference between $x$, $190$.

Thus the next number will be $190 + 165 = 355$

Henceforth, the next number in the given series is $355$.