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Find the formula for the 19th term of the sequence in which a1 = 9 and the common ratio is 6.

Sagot :

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Question :
Find the formula for the 19th term of the sequence in which a1 = 9 and the common ratio is 6.
Answer :
From the question we know that :
n = 19th
a₁ = 9
r = 6
General Formulas To find any term of a geometric sequence: 
[tex]a_{n}=a_{1} \cdot r^{(n-1)}[/tex]

The formula for the 19th term of the sequence :
[tex]a_{19}=9 \cdot 6^{(19-1)}[/tex]

[tex]a_{19}=9 \cdot 6^{18}[/tex]


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