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10 times 10th tearm of a sequence is equal to15 times 15th tearm. what is the 25th tearm? find the product of 25 tearms?

Asked by Cicy 16th March 2016, 10:21 AM
Answered by Expert
Answer:

A c c o r d i n g space t o space t h e space g i v e n space c o n d i t i o n comma space 10 t subscript 10 equals space 15 t subscript 15
rightwards double arrow 10 left parenthesis a plus 9 d right parenthesis space equals space 15 left parenthesis a plus 14 d right parenthesis
rightwards double arrow 2 left parenthesis a plus 9 d right parenthesis space equals space 3 left parenthesis a plus 14 d right parenthesis
rightwards double arrow 2 a plus 18 d space equals space 3 a plus 42 d
rightwards double arrow a space equals space minus 24 d. space. space. space. left parenthesis 1 right parenthesis
t subscript 25 equals space a space plus 24 d
rightwards double arrow t subscript 25 equals space minus 24 d space plus 24 d
rightwards double arrow t subscript 25 equals space 0
S o comma space t h e space 25 t h space t e r m space i s space 0.
P r o d u c t space o f space 25 space t e r m s space equals t subscript 1 t subscript 2. space. space. space. space. end subscript space t subscript 25
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space t subscript 1 t subscript 2. space. space. space. space. end subscript space left parenthesis 0 right parenthesis. space. space. space. left parenthesis f r o m space left parenthesis i right parenthesis right parenthesis
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 0

Answered by Expert 16th March 2016, 7:11 PM
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