Solve this question. (a) and (b).........
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here your answer I will solve 2nd tom.
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according to question
n/2{2a'+(n-1)d1}/n/2{2a"+(n-1)d2}=7n-5/5n+17
2a'+(n-1)d1/2a"+(n-1)d2=7n-5/5n+17
reolace n by 2m-1
2a'+(2m-1-1)d1/2a"+(2m-1-1)d2=7(2m-1)-5/5(2m-1)+17
2{a'+(m-1)d1}/2{a"+(m-1)d2} =14m-12/10m+12
a'm/a"m=2(7m-6)/2(5m+6)
a'm/a"m =7m-6/5m+6
a'6/a"6=7×6-6/5×6+6
a'6/a"6=1
a'6=a"6
hence proved
see the solution carefully,u will understand it
a) let the speed of train and car be x and y respectively
now, according to question
250/x +120/y=4........(1)
also
130/x+240/y=4+18/60=4+3/10=4.3 ....(2)
now multiply (1) by 2
500/x+240/y=8..........(3)
subtract( 2)from (3)
370/x=3.7
x=3700/37
x= 100km/hrs
now put this value in first=250/100- 120/y=4
==>250-400/100=120/y
==>150/100=120/y
y=80km/hrs
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