Answered

Westonci.ca is your trusted source for accurate answers to all your questions. Join our community and start learning today! Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

Find a formula for the sequence 3, 9/4, 27/7, 81/10,... in sigma notation​

Sagot :

sqdancefan

9514 1404 393

Answer:

  [tex]\displaystyle S_n=\sum_{k=1}^n{\frac{3^k}{3k-2}}[/tex]

Step-by-step explanation:

The sequence terms appear to have numerators that are powers of 3, and denominators that are a linear (arithmetic) sequence with a first term of 1 and a common difference of 3.

  numerator: 3^x

  denominator: 1 +3(n -1) = 3n-2

Then the sum of n terms of the sequence can be described by ...

  [tex]\displaystyle \boxed{S_n=\sum_{k=1}^n{\frac{3^k}{3k-2}}}[/tex]

We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.