Question

Prove that , x+4x+7x+.….....+(3n-2)x=1/2{n(3n-1)}x.

Answer 1

first for n=1 k liye proove kro to x=x ayega
phir n=K k liye kro to x+4x+7x......+(3k-2)=1/2{k(3k-1)}x ayega........(1)

now we do proove for n=k+1
so....
x+4x+7×....3(k+1)-2=1/2{(k+1)(3(k+1)-1)}.........(2)

LHS se...
x+4x+7x....3k-2+3
now from equation 1

1/2{k(3k-1)}+3...........(3)

when we solve equation 2 and 3 we see that
equation 2 =equation 3
so LHS =RHS
ITS PROOVE

Answer 2

Answer:

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