77, 90, 109, 140, 189, ?.plz ans
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Given series:-
77, 90, 109, 140, 189, ?
To find:-
The next term in the series.
Solution:-
If we look at the difference between the term and the term next to it, we get something as follows:-
90-77 = 13
109-90 = 19
140-109 = 31
189-140 = 49
? - 189 = x
The differences are: 13, 19, 31, 49 and x.
Let this be another series.
Now, again:
13 + 6 = 19
19 + 12 = 31
31 + 18 = 49
Similarly, 49 + 24 = 73
The bold numbers are the increasing multiples of 6.
Now, we find that in the series: 13, 19, 31, 49, x
x = 73
Here, we put the value of 'x' and hence the required value can be operated as follows:
? - 189 = 73
⇒? = 73 + 189 = 262
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