Math, asked by navaneet789, 8 months ago

find the 6th term of (2+x)^10

Answers

Answered by tejadps03
1

Answer:Explanation:

We know that, the General  

(

r

+

1

)

t

h

Term, i.e.,  

T

r

+

1

,

in

the expansion of  

(

a

+

b

)

n

is given by,

T

r

+

1

=

n

C

r

a

n

r

b

r

,

r

=

0

,

1

,

2

,

...

,

n

.

We have,  

a

=

x

,

b

=

1

2

,

n

=

10

,

&

,

since  

T

6

is required,  

r

=

5

.

Accordingly,  

T

5

+

1

=

10

C

5

x

10

5

(

1

2

)

5

,

=

(

10

)

(

9

)

(

8

)

(

7

)

(

6

)

(

1

)

(

2

)

(

3

)

(

4

)

(

5

)

x

5

(

1

2

5

)

,

T

6

=

63

8

x

5

.

Step-by-step explanation:

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