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The explicit formula for the sequence is 3n -10
<h3>What is an Arithmetic Sequence ?</h3>An arithmetic sequence is a series of terms which have common difference between its consecutive numbers.
The sequence given is
−7, −4, −1, 2, 5, …
The common difference between each term is d =3
-4-(-7) = 3
-1-(-4) =3
The nth term for a sequence is given by
Here a is the first term = -7
n is the no. of terms = n
d is the common difference = 3
Therefore the equation will be
= -7 +3n -3
= 3n -10
Therefore the explicit formula for the sequence is 3n -10 .
To know more about Arithmetic Sequence
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Answer: 3/5
Step-by-step explanation: Using the place value chart, we can see that the decimal 0.6 is 6 tenths. So we can write 0.6 as the fraction 6/10.
Notice however that 6/10 is not in lowest terms.
So we need to divide the numerator and the denominator by the greatest common factor of 6 and 10 which is 2.
So if we divide the numerator and denominator by 2, we get 3/5.
So 0.6 can be written as the fraction 3/5 which is in lowest terms.
Image provided showing the place value chart.
