IDNLearn.com: Where curiosity meets clarity and questions find their answers. Get accurate and comprehensive answers to your questions from our community of knowledgeable professionals.

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

Sagot :

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]