Answered

Westonci.ca offers fast, accurate answers to your questions. Join our community and get the insights you need now. Explore thousands of questions and answers from knowledgeable experts in various fields on our Q&A platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

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]