Question : Directions: In the following question, select the missing number of the given series.
1, 5, 21, 85, 341, ?
Option 1: 1380
Option 2: 1365
Option 3: 1360
Option 4: 1370
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Correct Answer: 1365
Solution :
Given:
1, 5, 21, 85, 341, ?
Add the square of the even number which is twice the previously added number, to get the required missing number in the series –
1 + 2
2
= 1 + 4 = 5;
5 + 4
2
= 5 + 16 = 21;
21 + 8
2
= 21 + 64 = 85;
85 + 16
2
= 85 + 256 = 341;
341 + 32
2
= 341 + 1024 = 1365
So, the missing number in the series is 1365. Hence, the second option is correct.
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