If a,b,c are in A.P.,find the value of
begin mathsize 20px style open vertical bar table row cell 2 y plus 4 end cell cell space space space 5 y plus 7 space space end cell cell 8 y plus a end cell row cell 3 y plus 5 end cell cell 6 y plus 8 end cell cell 9 y plus b end cell row cell 4 y plus 6 end cell cell 7 y plus 9 end cell cell 10 y plus c end cell end table close vertical bar end style

Asked by sunil2791 | 22nd Jul, 2017, 09:16: AM

Expert Answer:

begin mathsize 16px style If space straight a comma straight b comma straight c space are space in space AP space then space straight b minus straight a equals straight c minus straight b space
rightwards double arrow 2 straight b minus straight a minus straight c equals 0
Multiplying space and space dividing space by space 2 space to space straight R subscript 2
1 half open vertical bar table row cell 2 straight y plus 4 end cell cell 5 straight y plus 7 space end cell cell 8 straight y plus straight a end cell row cell 2 open parentheses 3 straight y plus 5 close parentheses end cell cell 2 open parentheses 6 straight y plus 8 close parentheses end cell cell 2 open parentheses 9 straight y plus straight b close parentheses end cell row cell 4 straight y plus 6 end cell cell 7 straight y plus 9 end cell cell 10 straight y plus straight c end cell end table close vertical bar
equals 1 half open vertical bar table row cell 2 straight y plus 4 end cell cell 5 straight y plus 7 space end cell cell 8 straight y plus straight a end cell row cell 6 straight y plus 10 end cell cell 12 straight y plus 16 end cell cell 18 straight y plus 2 straight b end cell row cell 4 straight y plus 6 end cell cell 7 straight y plus 9 end cell cell 10 straight y plus straight c end cell end table close vertical bar
straight R subscript 2 rightwards arrow straight R subscript 2 minus straight R subscript 1 minus straight R subscript 3
equals 1 half open vertical bar table row cell 2 straight y plus 4 end cell cell 5 straight y plus 7 space end cell cell 8 straight y plus straight a end cell row 0 0 cell 2 straight b minus straight a minus straight c end cell row cell 4 straight y plus 6 end cell cell 7 straight y plus 9 end cell cell 10 straight y plus straight c end cell end table close vertical bar
2 straight b minus straight a minus straight c equals 0 space
equals 1 half cross times 0 equals 0


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Answered by Sneha shidid | 22nd Jul, 2017, 02:34: PM