Accedmychevron_right11thchevron_rightmathchevron_rightSequences And Serieschevron_rightExercise 6.9

(i) (\dfrac{1}{3},\dfrac{1}{5},\dfrac{1}{7},\ldots)

Reciprocals: (3,5,7,\ldots) A.P. with (a=3), (d=2)

9th reciprocal: (3+8\cdot2=19)

9th term: (\dfrac{1}{19})

(ii) (\dfrac{-1}{5},\dfrac{-1}{3},-1,\ldots)

Reciprocals: (-5,-3,-1,\ldots) A.P. with (d=2)

9th reciprocal: (-5+8\cdot2=11)

9th term: (\dfrac{1}{11})

Answer: (i) (\dfrac{1}{19}) (ii) (\dfrac{1}{11})