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Mathematical Induction question bank (Maths)

Practice 70 free Engineer & Medical Maths - Mathematical Induction questions with answers and step-by-step solutions.

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Q1.

If $a_n=\sqrt{7+\sqrt{7+\sqrt{7+\ldots .}}}$ having $\mathrm{n}$ radical signs then by methods of mathematical induciton which is true

(A)

$a_n\gt 7 \forall n \geq 1$

(B)

$\mathrm{a}_{\mathrm{n}}\gt 7 \forall \mathrm{n} \geq 1$

(C)

$a_n \lt 4 \forall n \geq 1$

(D)

$a_n \lt 3 \forall \mathrm{n} \geq 1$

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Q2.

In the group $G=\{1,5,7,11\}$ under multiplication modulo 12, the solution of $7^{-1} \underset{12}{\times}(x \underset{12}{12} 11)=5$ is $x=$

(A)

(B)

(C)

(D)

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