Question

Please solve... CLASS 11TH.... ​

Answer 1

Answer:

hence by PMI (principle of mathematical induction) the given statement has been proved

Step-by-step explanation:

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Answer 2

Answer:

let p(n)=1

lhs                          rhs

3^1-1/2+3^1              (3^2-1)/2

=2/2 +3                    8/4

=4                         =4

so lhs =rhs

p(n)is tue for 1

assume p(k)is true

3^k-1/2+3^k=3^(k+1)-1/2

prove p(k+1)is true

3^(k+1)-1/2 +3^(k+1)

3^(k+1)-1 +2.3^(k+1)/2

3^(k+1)(1 +2)-1/2

3^(k+2)-1/2

lhs =rhs

by pmi it is true

Step-by-step explanation: