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What is the 10th term of the geometric sequence 3, 9, 27,...?

1 Answer

Mar 18, 2018

$a_{10} = 59049$ $a_(10)=59049$

Explanation:

$the nth term of a geometric sequence is$ $"the nth term of a geometric sequence is"$

$∙ x a_{n} = a r^{n - 1}$ $•color(white)(x)a_n=ar^(n-1)$

$where a is the first term and r the common ratio$ $"where a is the first term and r the common ratio"$

$r=a_2/a_1=a_3/a_2=......=a_n/a_(n-1)$

$"here "a=3" and "r=9/3=27/9=3$

$rArra_(10)=3xx3^9=3^10=59049$

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