Question

(√5-1)(√5+1) ka man kya he

Answer 1

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Explanation

Sum of first n terms,

S

n

=

1−r

a(1−r

n

)

Sum of terms from (n+1)th to 2n th term is,

S

2n

−S

n

=

1−r

a(1−r

2n

)

−

1−r

a(1−r

n

)

=

1−r

a(r

n

−r

2n

)

Ratio,

=

1−r

a(r

n

−r

2n

)

1−r

a(1−r

n

)

=

r

n

−r

2n

1−r

n

=

r

n

(1−r

n

)

1−r

n

=

r

n

1

Hence proved.

Answered By hari00_s