Question

If P ( n ) : 1

3

+ 23

+33

+ ….. + ( n + 1)3

= k, then L.H.S. of P ( 2 ) = ______​

Answer 1

Step-by-step explanation:

P(n):3

n

>n

n

for n=1

P(1):3

′

1>1

1

3>1

∴ It is true for n=1

P(K)⇒3

k

>k

k

It is given that P(h) is true, so P(k) is true for n=k

P(k+1)=3

k+1

>(k+1)

k+1

3

k

.3

1

>(k+1)

k

(k+1)

By the principle for mathematics production,

P(n+1) is true, when P(n) is true

∴P(n+1) is true.

Answer 2

Step-by-step explanation:

Step-by-step explanation:

P(n):3

n

>n

n

for n=1

P(1):3

′

1>1

1

3>1

∴ It is true for n=1

P(K)⇒3

k

>k

k

It is given that P(h) is true, so P(k) is true for n=k

P(k+1)=3

k+1

>(k+1)

k+1

3

k

.3

1

>(k+1)

k

(k+1)

By the principle for mathematics production,

P(n+1) is true, when P(n) is true

∴P(n+1) is true.Answer

0

ayushibhadana769

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Step-by-step explanation:

P(n):3

n

>n

n

for n=1

P(1):3

′

1>1

1

3>1

∴ It is true for n=1

P(K)⇒3

k

>k

k

It is given that P(h) is true, so P(k) is true for n=k

P(k+1)=3

k+1

>(k+1)

k+1

3

k

.3

1

>(k+1)

k

(k+1)

By the principle for mathematics production,

P(n+1) is true, when P(n) is true

∴P(n+1) is true.