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Show that $\frac{1}{\sqrt{5}}; \frac{3}{\sqrt{5}}; \sqrt{5};...$ is an arithmetic sequence
in Mathematics by Diamond (61,682 points) | 45 views

1 Answer

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For arithmetic,

T2 - T1 = T3 - T2

3/√5 - 1/√5 = √5 - 3/√5

LHS:

=2/√5

RHS:

LCD = √5

= (√5 x√5 - 3)/√5

= (5-3)/√5

= 2//√5 = LHS , therefore it is an arithmetic sequence.
by Diamond (42,394 points)

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