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0 vote

A series is given with one term missing. Select the correct alternative from the given ones that will complete the series. 0.5, 4, 13.5, 62.5, 171.5,?, 1098.5 

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A series is given with one term missing. Select the correct alternative from the given ones that will complete the series.

0.5, 4, 13.5, 62.5, 171.5,?, 1098.5 


1). 660
2). 665.5
3). 665
4). 664.5


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2 answers

3 vote
Answered by on | Votes 3 |

Number in a series is half of cube of prime numbers starting from 1

13 = 1 = ½ = 0.5

23 = 8 = 8/2 = 4

33 = 27 = 27/2 = 13.5

53 = 125 = 125/2 = 62.5

73 = 343 = 343/2 = 171.5

113 = 1331 = 1331/2 = 665.5

133 = 2197 = 2197/2 = 1098.5

Hence, 665.5 is the correct answer.

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2 vote
Answered by on | Votes 2 |
Yes it is correct. Well done and well explained. 




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