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Find the first four terms of the sequence defined below, where n represents the position of a term in the sequence. Start with n = 1.an = 6n − 8

Find The First Four Terms Of The Sequence Defined Below Where N Represents The Position Of A Term In The Sequence Start With N 1an 6n 8 class=

Sagot :

Given

[tex]a_n=6n-8[/tex]

To find: The first four terms of the sequence.

Explanation:

It is given that,

[tex]a_n=6n-8[/tex]

Then,

For n=1,

[tex]\begin{gathered} a_1=6(1)-8 \\ =6-8 \\ =-2 \end{gathered}[/tex]

For n=2,

[tex]\begin{gathered} a_2=6(2)-8 \\ =12-8 \\ =4 \end{gathered}[/tex]

For n=3,

[tex]\begin{gathered} a_3=6(3)-8 \\ =18-8 \\ =10 \end{gathered}[/tex]

For n=4,

[tex]\begin{gathered} a_4=6(4)-8 \\ =24-8 \\ =16 \end{gathered}[/tex]

Hence, the first four terms of the sequence is -2, 4, 10, 16.

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