The common ratio of the given geometric sequence is the number that is multiplied to the first term in order to get the second term. Consequently, this is also the number multiplied to the second term to get the third term. This cycle goes on and on until a certain term is acquired. In this item, the common ratio r is,
r = t⁵/t⁸ = t²/t⁵
The answer, r = t⁻³.
The next three terms are,
n₄ = (t²)(t⁻³) = t⁻¹
n₅ = (t⁻¹)(t⁻³) = t⁻⁴
n₆ = (t⁻⁴)(t⁻³) = t⁻⁷
The answers for the next three terms are as reflected above as n₄, n₅, and n₆, respectively.
8 over 20 equals 6 over 15
Answer:
16.6
Step-by-step explanation:
We determine first the rate of flow of water out of the bottle by dividing the difference in the volume with the difference in time.
r = (28 - 20) / (6 - 2)
r = 2 ounce/s
We calculate the first term by adding 2 ounce/s to the 2nd term, giving us the answer which is equal to 30 ounce/second.