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Questions  >>  Olympiad-Math  >>  Class 10
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Q)

Find the next term of given sequence .. $16, 17, 21, 30, 46, ....$

$(A) \; 71 \\(B)\;64 \\(C)\; 77 \\(D)\; 72 $

The answer is 71

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A)

16,17,21,30,46..........................

17-16-=12

21-17=4=22

30-21=9=32

46-30=16=42

So next step=46+52

=46+25=71

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