the fourth term of GP is greater than the first term,which is positive by 372.The third term is greater than the second by 60.calculate the common ratio and the first term of the progression

Question

anonymous · Answer

t4 = t1+372
ar^3 = a +372 ...i

t3 = t2+60
ar^2= ar +60 ....ii

anonymous · Answer

If I am not wrong u need to solve that two equations

wwe123 · Answer

but how to solve ?? @sauravshakya

anonymous · Answer

But I am confused what does by means....

anonymous · Answer

Did I write the correct equations???

wwe123 · Answer

i am not able to find out a & r in above both equation

anonymous · Answer

ar^3 = a +372
ar^3 -a =372
a=372 / (r^3 -1)
Also,
ar^2 =ar +60
ar^2 -ar =60
a= 60 / (r^2 -r)

anonymous · Answer

So,
372 /(r^3-1) = 60 / (r^2-r)
372/60 = (r^3-1) / (r^2 -r)
372 /60 = (r-1) ( r^2 +r +1) / {r(r-1)}
372/60 = (r^2 +r+1) /r

anonymous · Answer

Now, can u find r?