# If        having   radical signs then by methods of mathematical induction which is true Option 1) Option 2) Option 3) Option 4)

As we learnt in

Steps of Mathematical Induction (Verification step) -

Step 1: Verification step

Actual verification of the proposition of the starting value

- wherein

is divisible by 7

Put n=1, It Satisfies.

and

Steps of Mathematical Induction (Induction Step) -

Step 2: Induction Step

Assuming the proposition to be true for n=k, and proving it is true for value

-

And

Steps of Mathematical Induction (Generalization Step) -

Combine Verification step and Induction step

is true and  is true for  assuming it is true for

-

which is less than 3 and lesser than 4

For n = k

ak < 7

S= an < 7

Option 1)

This option is incorrect.

Option 2)

This option is correct.

Option 3)

This option is incorrect.

Option 4)

This option is incorrect.

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