Find the G.P whose third term is 9/4 and
whose sixth term is 243/32
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Step-by-step explanation:
Let GP's third term be 9/4 and sixth term be 243/32
Let increment=x
9/4+3x=243/32
3x=243/32-9/4
x=(243-72)/(32*3)=171/(32*3)=57/32.
So GP starts with first term=9/4-2x=9/4-57/16=-21/16
Second term=-21/16+57/32=15/32
So, GP is {-21/16,15/32,9/4.........)
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