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Let an denote the number of all n-digit ...

Let `a_n` denote the number of all n-digit positive integers formed by the digits 0, 1, or both such that no consecutive digits in them are 0. Let `b_n=`The number of such n-digit integers ending with digit 1 and `c_n=` Then number of such n-digit integers with digit 0.
The value of `b_6` is

A

7

B

8

C

9

D

11

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The correct Answer is:
B
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ML KHANNA-PROGRESSIONS -PROBLEM SET - 5 (MULTIPLE CHOICE QUESTIONS)
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  10. If A = underset(n rarr oo)("Lt") sum(r = 1)^(n) tan^(-1) ((2r)/(2 + r^...

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  11. sum(r = 1)^(50) [(1)/(49 + r) - (1)/(2r(2r - 1))]=

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  14. Let Vr denote the sum of the first r terms of an arithmetic progressio...

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  15. Let V(r) denote the sum of the first r terms of an arithmetic progres...

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  19. Let a(n) denote the number of all n-digit numbers formed by the digits...

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