Given geometric sequence is,
20, 60, .......
Recursive formula of the geometric sequence is given by,
a₁ = First term of the sequence
[tex]T_n=T_(n-1)\times r[/tex]
[tex]T_n=[/tex] Successive term of the sequence
[tex]T_{n-1}=[/tex] Previous term of the sequence
r = common ratio
Here, [tex]r=\frac{\text{2nd term}}{\text{1st term}}=\frac{60}{20}[/tex]
r = 3
Therefore, [tex]T_n=T{(n-1)}\times 3[/tex]
Therefore, recursive formula of the sequence is,
[tex]a_1=20[/tex]
[tex]T_n=3(T_{n-1})[/tex]
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