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In a GP , IF an =5(0.2)n-1 express value of r in P/Q form is________ |
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Answer» Answer: If the first TERM of the GP is a and common ratio If the first term of the GP is a and common ratio Then, If the first term of the GP is a and common ratio Then,The nth term of GP is If the first term of the GP is a and common ratio Then,The nth term of GP isa_n=ar^{n-1}a n
=ar n−1 =ar n−1 =ar n−1 GIVEN =ar n−1 Givena_n=5(0.2)^{n-1}a n
=5(0.2) n−1 =5(0.2) n−1 =5(0.2) n−1 COMPARING this to the general term, we GET =5(0.2) n−1 Comparing this to the general term, we geta=5a=5 =5(0.2) n−1 Comparing this to the general term, we geta=5a=5r=0.2r=0.2 =5(0.2) n−1 Comparing this to the general term, we geta=5a=5r=0.2r=0.2or, R=\frac{1}{5}r= 51 =5(0.2) n−1 Comparing this to the general term, we geta=5a=5r=0.2r=0.2or, r=\frac{1}{5}r= 51 Therefore, r in p/q form is 1/5 , r in p/q form is 1/5Hope it's helpful☺️ |
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