Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find the common ratio of the geometric sequence 
-11,44,-176,dots
Answer:

Find the common ratio of the geometric sequence 11,44,176, -11,44,-176, \ldots \newlineAnswer:

Full solution

Q. Find the common ratio of the geometric sequence 11,44,176, -11,44,-176, \ldots \newlineAnswer:
  1. Identify given sequence: Identify the given geometric sequence.\newlineThe sequence provided is 11-11, 4444, 176-176, ...\newlineWe need to find the common ratio, which is the factor that each term is multiplied by to get the next term.
  2. Calculate common ratio: Calculate the ratio between the second and the first term.\newlineTo find the common ratio, we divide the second term by the first term.\newlineCommon Ratio rr = 4411\frac{44}{-11} = 4-4
  3. Verify common ratio: Verify the common ratio by checking the ratio between the third and the second term.\newlineTo ensure that the common ratio is correct, we divide the third term by the second term.\newlineCommon Ratio rr = (176)/44(-176) / 44 = 4-4\newlineThis confirms that the common ratio is consistent across these terms.

More problems from Find terms of a geometric sequence