Question

Evaluate: (-33)³ with formula ​

Answer 1

Step-by-step explanation:

If we divide any term of the series by the preceding term we always get .33. So, the series is geometric with common ratio r = .33.

Since r is between -1 and 1, the series converges and the sum of the series is found by the formula a/(1-r), where a is the first term of the series.

So, in this example, the sum of the series is

(.33)3/(1 - .33) = [(33/100)3]/(67/100)

= [35937/(100)3 ] [100/67]

= 35937/670000 ≈ 0.0536