shainauwu
Answered

At Westonci.ca, we connect you with the best answers from a community of experienced and knowledgeable individuals. Connect with a community of experts ready to help you find solutions to your questions quickly and accurately. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

find the missing term in the geometric sequence. ...,96,__,6,...

Sagot :

Answer: Either 24 or -24

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

Explanation:

r = common ratio

  • first term = 96
  • second term = 96r
  • third term = 96r*r = 96r^2

Set this equal to the stated third term (6) and solve for r.

96r^2 = 6

r^2 = 6/96

r^2 = 1/16

r = sqrt(1/16) or r = -sqrt(1/16)

r = 1/4 or r = -1/4

------------

If r = 1/4, then the second term is 96*r = 96*(1/4) = 24

Or

If r = -1/4, then the second term is 96*r = 96*(-1/4) = -24

Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.