What is the 5th term if the arithmetic sequence given by the explicit rule. a- )? n

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Step-by-step explanation:

In the formula, nnn is any term number and a(n)a(n)a, left parenthesis, n, right parenthesis is the n^\text{th}n  

th

n, start superscript, t, h, end superscript term.

This formula allows us to simply plug in the number of the term we are interested in, and we will get the value of that term.

In order to find the fifth term, for example, we need to plug n=5n=5n, equals, 5 into the explicit formula.

\begin{aligned}a(\greenE 5)&=3+2(\greenE 5-1) &=3+2\cdot4 &=3+8 &=11\end{aligned}  

a(5)

=3+2(5−1)

=3+2⋅4

=3+8

=11

hope it

step-by-step explanation:

x^(1/6) · x^(1/6) · x^(1/6)   ·x^(1/6) = x^(4/6)   since we add the exponents

4/6 can be simplified to 2/3

the simplified form is x^(2/3)

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.