Math, asked by viswanadhnaidu, 10 months ago

5. Find the sum of last 20 coefficients in the expansion of (1 + x)^39​

Answers

Answered by alenealvares
0

Answer:

i hope this answer is correct

Step-by-step explanation:

(1+x)  

59

=  

59

C  

0

​  

+  

59

C  

1

​  

x+  

59

C  

2

​  

x  

2

+....  

59

C  

59

​  

x  

59

 

Substituting x=1, we get

2  

59

=  

59

C  

0

​  

+  

59

C  

1

​  

+  

59

C  

2

​  

+....  

59

C  

59

​  

 

2  

59

=2[  

59

C  

0

​  

+  

59

C  

1

​  

+  

59

C  

2

​  

+....  

59

C  

28

​  

]+  

59

C  

29

​  

+  

59

C  

30

​  

 

2  

59

=2[  

59

C  

0

​  

+  

59

C  

1

​  

+  

59

C  

2

​  

+....  

59

C  

28

​  

+  

59

C  

29

​  

]

Since  

59

C  

30

​  

=  

59

C  

29

​  

 

2  

59

=2[  

59

C  

59

​  

+  

59

C  

58

​  

+  

59

C  

57

​  

+....  

59

C  

31

​  

+  

59

C  

30

​  

]

2  

59

=2(requiredsum)

Required sum =2  

58

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