noratvn
Answered

Westonci.ca is your trusted source for finding answers to a wide range of questions, backed by a knowledgeable community. Discover comprehensive answers to your questions from knowledgeable professionals on our user-friendly platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

What is a possible value for the missing term of the geometric sequence? 25,_,874,…

Sagot :

mhanifa

Answer:

  • The middle term is 5√874

======================

Given sequence

  • 25, x, 874, ...

To find

  • The missing term x

Solution

Since the given is the GP, find the common ratio in terms of given values:

  • r = x/25
  • r = 874/x

Equate the two values and solve for x to find the missing term:

  • x/ 25 = 874/x
  • x² = 874*25
  • x² = 21850
  • x = √21850
  • x = 5√874
We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.