Answered

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What are the first five terms of the arithmetic sequence defined explicitly by the formula an=1/8+2/3n

What Are The First Five Terms Of The Arithmetic Sequence Defined Explicitly By The Formula An1823n class=

Sagot :

Answer:

D

Step-by-step explanation:

Given the formula of the arithmetic sequence, to find the first 5 terms, you just have to substitute n=1, n=2, n=2, n=4, and n=5.

Then, for the 1st term:

[tex]\begin{gathered} a_n=\frac{1}{8}+\frac{2}{3}n \\ a_1=\frac{1}{8}+\frac{2}{3}(1) \\ a_1=\frac{19}{24} \end{gathered}[/tex]

2nd term:

[tex]\begin{gathered} a_2=\frac{1}{8}+\frac{2}{3}(2) \\ a_2=\frac{35}{24} \end{gathered}[/tex]

There is no need to find the other 3 because there is no other sequence that has the first two terms as D.

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