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Find the first three terms and stated term given the geometric sequence, with a1 as the first term. Given termsan=3^n-1, a5

Find The First Three Terms And Stated Term Given The Geometric Sequence With A1 As The First Term Given Termsan3n1 A5 class=

Sagot :

Answer:

First three terms: 1, 3 and 9

Stated term = 81

Explanation:

Given the formula;

[tex]a_n=3^{n-1}[/tex]

Let's go ahead and determine the first three terms of the geometric sequence.

For the 1st term;

[tex]\begin{gathered} a_1=3^{1-1} \\ =3^0 \\ =1 \end{gathered}[/tex]

For the 2nd term;

[tex]\begin{gathered} a_2=3^{2-1} \\ =3^1 \\ =3 \end{gathered}[/tex]

For the 3rd term;

[tex]\begin{gathered} a_3=3^{3-1} \\ =3^2 \\ =9 \end{gathered}[/tex]

Let's now find the stated term;

[tex]\begin{gathered} a_5=3^{5-1} \\ =3^4 \\ =81 \end{gathered}[/tex]

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