Multiple choice

Each term of a sequence is one-third the previous term. If the eighth term is between 0.004 and 0.008, then the tenth term lies between:

  1. 0.044 and 0.089

  2. 0.0044 and 0.0089

  3. 0.00044 and 0.00089

  4. 0.000044 and 0.000089

  5. 0.0000044 and 0.0000089
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Each term is 1/3 of the previous. T8 is in (0.004, 0.008). T9 is in (0.004/3, 0.008/3) = (0.00133, 0.00266). T10 is in (0.00133/3, 0.00266/3) = (0.00044, 0.00089).

AI explanation

Since each term is one-third of the previous term, the tenth term is the eighth term multiplied by one-third twice, which means multiplying by one-ninth. Dividing the given range for the eighth term of 0.004 to 0.008 by 9 gives a tenth term between 0.00044 and 0.00089.

Keep practicing — related questions