Jen picked 3/4 of a gallon of strawberries in half an hour. If she keeps picking strawberries at the same rate, how many gallons
1 answer:
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Answer:
The Recursive Formula for the sequence is:
; a₁ = 125
Hence, option D is correct.
Step-by-step explanation:
We know that a geometric sequence has a constant ratio 'r'.
The formula for the nth term of the geometric sequence is
where
aₙ is the nth term of the sequence
a₁ is the first term of the sequence
r is the common ratio
We are given the explicit formula for the geometric sequence such as:
comparing with the nth term of the sequence, we get
a₁ = 125
r = 1/5
Recursive Formula:
We already know that
- a₁ = 125
- r = 1/5
We know that each successive term in the geometric sequence is 'r' times the previous term where 'r' is the common ratio.
i.e.
Thus, substituting r = 1/5
and a₁ = 125.
Therefore, the Recursive Formula for the sequence is:
; a₁ = 125
Hence, option D is correct.
Aplicando multiplicación cruzada, tiene-se que el valor de w es w = 9.
- Cuando una proporción es dada, con una igualdade de duas proporciones, puede-se aplicar multiplicación cruzada entre ellas.
En este problema, la ecuación que relaciona las proporciones es dada por:
Aplicando multiplicación cruzada:
El valor de w es w = 9.
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