Answer:
[tex]a_{n} = 1.25(2)^{n-1}[/tex]
Step-by-step explanation:
Geometric Sequence is the sequence in which every digit is the same multiplier of its previous digit.
The formula of Geometric Sequence is: [tex]a_{n} = a_{1}(r)^{n-1}[/tex]
We have given value of 4th term i.e.
[tex]a_{4} = a_{1}(2)^{4-1}[/tex]
⇒ [tex]10 = a_{1} (2)^{3}[/tex]
⇒ [tex] a_{1} = \frac{10}{(2)^{3}} [/tex]
⇒ a₁ = 1.25
Hence, the nth term of each sequence is: [tex]a_{n} = 1.25(2)^{n-1}[/tex]
