What is the next number of the following sequence 74,101,306,416,794,981.....

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04 Nov 2013 Sequence

What is the next number of the following sequence
74,101,306,416,794,981.....

OPtion

1) 1075
2) 1183
3) 1195
4) 1275
5) 1325
6) 1375
7) 1455
8) 1475
9) 1595
10) None of these

Solution

5^2+(2+5)^2 = 25+49 = 74
10^2+(1+0+0)^2 = 100+1 = 101
15^2+(2+2+5)^2 = 225+81 = 306
20^2+(4+0+0)^2 = 400+16 = 416
25^2+(6+2+5)^2 = 625+169 = 794
30^2+(9+0+0)^2 = 900+81 = 981
Similarly
35^2+(1+2+2+5)^2 = 1225+100 = 1325
option 5)

Correct Option: 5 Best Solution (6)