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Home / Doubts and Solutions/JEE/Mathematics

if the fifth term of a GP is 9 times the third term and the second term of the series is 6. then the series is what?

Asked by boratepv 13th July 2018, 4:07 PM
Answered by Expert
Answer:
begin mathsize 16px style 5 to the power of th space term space of space straight a space GP space equals space 9 space times space 3 to the power of rd space term rightwards double arrow ar to the power of 4 space equals space 9 space cross times ar squared space rightwards double arrow straight r squared space equals space 9 rightwards double arrow straight r space space equals space plus-or-minus 3 2 to the power of nd space term space equals space 9 ar space equals space 6 comma space If space straight r space equals space 3 space then space space rightwards double arrow straight a space equals space 2 space and space ar space equals space 6 comma space If space straight r space equals space minus 3 space then space space rightwards double arrow straight a space equals space minus 2 space Geometric space Series space equals space straight a space comma space ar space comma space ar squared comma space ar cubed comma space space ar to the power of 4 space... space If space straight a space equals space 2 space and space straight r space equals space 3 space then Geometric space Series space is space 2 comma space 6 comma space 18 comma space..... If space straight a space equals space minus 2 space and space straight r space equals space minus 3 space then Geometric space Series space is space minus 2 comma space 6 comma space minus 18 comma space..... end style
Answered by Expert 13th July 2018, 6:01 PM
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