Find the next number in the series. 1, 5, 22, 83, 281, ? (A) 885 (B) 905 (C) 895 (D) 915
Answers
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Solution :-
checking the difference between given terms we get,
1 5 22 83 281
4 17 61 198
again,
4 17 61 198
13 44 137
again,
13 44 137
31 93
as we can see that,
31 * 3 = 93 .
therefore, we can conclude that, next difference will be 93 * 3 = 279 .
So,
→ 279 + 137 = 416
now,
→ 416 + 198 = 614
finally,
→ 614 + 281 = 895 (Ans.)
1 5 22 83 281 895
4 17 61 198 614
13 44 137 416
31 93 279
Hence, Option (C) 895 is correct answer .
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