Answered

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Write an explicit formula for this geometric sequence: 1, 5, 25, 125, 625

Sagot :

Answer:

[tex]a_{n}[/tex] = 1 [tex](5)^{n-1}[/tex]

Step-by-step explanation:

the explicit formula for a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

here a₁ = 1 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{5}{1}[/tex] = 5 , then

[tex]a_{n}[/tex] = 1 [tex](5)^{n-1}[/tex]

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