Please help! Evaluate the following expression.
1 answer:
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Answer:
The nth term of the geometric sequence 7, 14, 28, ... is:
Step-by-step explanation:
Given the geometric sequence
7, 14, 28, ...
We know that a geometric sequence has a constant ratio 'r' and is defined by
where a₁ is the first term and r is the common ratio
Computing the ratios of all the adjacent terms
The ratio of all the adjacent terms is the same and equal to
now substituting r = 2 and a₁ = 7 in the nth term
Therefore, the nth term of the geometric sequence 7, 14, 28, ... is:
Answer: OPTION D:
Step-by-step explanation:
By definiton, fractions have the following form:
Where "a" is called numerator and "b" is the denominator. The numerator and the denominator are Integers.
In order to solve this exercise you need to remember de Division of fractions:
In this case, according to the information given in the exercise, you know that of rubies are divided into 4 lots.
Therefore, in order to calculate the weight in pounds of each lot, you need to divide by 4.
Then, you get the following result:
As you can notice, this result matches with the Option D.