Question

Find the sum of the following series 5+5.5+5.55+... to n term​

Answer 1

Answer:

Let S

n

=5+55+555+... to n terms.

Then,

s

n

=5(1+11+111+... to n terms)

⇒s

n

=

5

9

(9+99+999+... to n terms)

⇒S

n

=

9

5

{(10−1)+(10

2

−1)+(10

3

−1)+...+(10

n

−1)}

⇒S

n

=

9

5

{(10+10

2

+10

3

+...+10

n

)−n}

⇒S

n

=

9

5

{10(

10−1

10

n

−1

)−n}

⇒S

n

=

9

5

{

9

10

(10

n

−1)−n}=

81

5

(10

n+1

−9n−10).

Step-by-step explanation:

PLS MAKE ME A BRAINLIST

Answer 2

Answer:

16.05

Step-by-step explanation:

hope it will be helpful to you dear friend