The geometric sequence can be represented explicitly or as recursions
The explicit formula of the geometric sequence is b(n) = 2 * 3^(n-1)
<h3>How to determine the explicit formula?</h3>
The sequence is given as:
2, 6, 18, 54, ....
Start by calculating the common ratio (r)
r = b2/b1
This gives
r = 6/2
Evaluate the quotient
r = 3
A geometric sequence is represented as:
b(n) = b1 * r^(n-1)
This gives
b(n) = 2 * 3^(n-1)
Hence, the explicit formula of the geometric sequence is b(n) = 2 * 3^(n-1)
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Answer:
D) had been trained over the past two years and that they had
Step-by-step explanation:
In the context, the sentence speaks of something that happened in the past, so 'had been' is required and also it speaks of parallelism of events, as an estimation is being made so, parallelism should be maintained.
Hence, option (D) satisfies the two requirements. And eliminate option A, B, C and E.
Thus, (D) is correct.
The equivalent of the fraction using a denominator of 52. 2/13 is 261/65.
A fraction represented with its quotient and remainder is a mixed fraction. For example, 2 1/3 is a mixed fraction, where 2 is the quotient, 1 is the remainder. So, a mixed fraction is a combination of a whole number and a proper fraction.
The given question is a mixed fraction which can then be sorted in two fractions shown as below
52. 2/13
= (52 + 0.2)/13
=52/13 + 0.2/13
= 4 + 1/65
= (65x4 + 1)/65
= 261/65
Thus the equivalent of the fraction using a denominator of 52. 2/13 is 261/65.
Learn more about Mixed Fractions here :
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