if a1 =3 and a3=27 are in gp. then what is the common ratio
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Given : a1 =3 and a3=27 are in gp.
To find : Common ratio
Solution:
in an gp
aₙ = arⁿ⁻¹
a = first term
r = common ration
n = number of term
a₁=3 and a₃=27
a = a₁ = 3
a₃ = ar³⁻¹
=> 27 = 3r²
=> r² = 9
=> r = ± 3
Common Ration can be 3 or - 3
GP can be
3 , 9 , 27 , 81 ....
3 , -9 , 27 , - 81.....
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