Math, asked by DARSHANCR7, 11 months ago

Find the sum of n terms of the series (4+1n)+(4 - 2n)+(4 - 3n)+......... Please answer my question mate

Answers

Answered by aahanmathew
0

Answer:

Step-by-step explanation:

we have to find:-

 the sum of 4-1/n, 4-2/n, 4-3/n = ?

solution:-

we know that :

1 + 2 +3 + 4 +5 +6 + ...........+ n = n(n +1) / 2

and 

1 + 1+ 1 + 1 + 1 + .............+ n = n 

Here,

sum of 4-1/n, 4-2/n, 4-3/n up to the nth term 

= (4 + 4 + 4 + 4 + 4 + ......... upto n terms) + (-1/n - 2/n - 3/n - ..........upto n terms)

= 4 ( 1+1+1+1.......... upto n terms) - 1/n (1 + 2 + 3 +4 .........upto n terms)

= 4 n - 1/n × n(n +1)/2

= 4n - (n+1)/2 

=  [ 8n - (n+1) ] / 2     .......taking L.C.M 

=( 7n - 1) / 2 Answer 

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

@@ hope it helps @@

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Answered by madhavipotu5
0

Answer:didnot know

Step-by-step explanation:

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