Answered

Discover the answers you need at Westonci.ca, where experts provide clear and concise information on various topics. Ask your questions and receive accurate answers from professionals with extensive experience in various fields on our platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

Hey! I need some help with this equation.
Which function models the geometric sequence in the table?
n 1 2 3 4 5 <-- This is a table
an 75 15 3 3/5 3/25 <---
A. f(n)=75 (1/5) ^n
B. f(n)=5 (n) ^1/5
C. f(n)=75 (1/5) ^n−1

Sagot :

billgkgk

Answer:

C. f(n)=75 (1/5) ^n-1

Step-by-step explanation:

We see that each value in the table is 1/5 of the preceding value. 1-1 =0 the exponent we need to get 75 as the output.

1/5⁰ × 75 = 75 Any number to power⁰ is 1

When n is 2, again we need the exponent to be one less:

1/5¹ × 75 = 15 [75/5 =15]

1/5² × 75 = 3. [75/25 =3]

1/5³ × 75 = 3/5. 75/125 = 3/5

You see the pattern. You can keep calculating to verify.

The exponent will be n-1

Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.