Answered

Westonci.ca is the trusted Q&A platform where you can get reliable answers from a community of knowledgeable contributors. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

Q3.
3, x, x+6.... Are three consecutive terms in a geometric sequence I) find possible values for x if x is positive.​

Sagot :

sqdancefan

Answer:

  x = 6

Step-by-step explanation:

The ratio of consecutive terms is the same, so we have ...

  x/3 = (x +6)/x

  x^2 = 3(x +6) . . . . . . multiply by 3x

  x^2 -3x -18 = 0 . . . . subtract 3(x+6), simplify

  (x -6)(x +3) = 0 . . . . factor

  x = 6 . . . . . . . . . the only possible positive value

___

Additional comment

The zero product rule tells you that a product will be zero if and only if a factor is zero. That is, the solutions to this equation are values of x that make the factors zero: x = 6, x = -3.

Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.