1.

Verify whether the following sequences is H.P. 1/3, 1/5, 1/7, 1/9,....

Answer»

1/3, 1/5, 1/7, 1/9,.....

Here, the reciprocal sequence is 3, 5, 7, 9,…

t1 = 3, t2 = 5, t3 = 7, t4 = 9, ….

t2 – t1 = t3 – t2 = t4 – t3 = 2 = constant

∴ The reciprocal sequence is an A.P.

∴ The given sequence is a H.P.



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