Question

Section-A
Answer the following questions 1 to 5 as directed. (Each carries 1 mark)
(1) if Pon): 1° +2° +3% + ... + (n+1) -k, then L.H.S. of P (2) =
is not true.​

Answer 1

Answer:

The given equation can be rewritten as follows:

1+3x+9x

2

+27x

3

+81x

4

+243x

5

=

1−p

1−p

6

​

The LHS can be simplified as:

1+3x+9x

2

+27x

3

+81x

4

+243x

5

=1+(3x)

1

+(3x)

2

+(3x)

3

+(3x)

4

+(3x)

5

The LHS is the sum of 6 terms which are in Geometric Progression (G.P.) with the common ratio 3x and the first term being 1.

The sum of n terms in G.P. with the common ratio r and first term a is  

1−r

a(1−r

n

)

​

Thus, the LHS reduces to  

1−3x

1−(3x)

6

​

On comparing LHS and RHS, we observe that 3x=p⇒

x

p

​

=3

Hope it helps mate

Answer 2

Answer:

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