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Find the 15th term of the geometric sequence 2, 6, 18,...
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1 vote
Find the 15th term of the geometric sequence 2, 6, 18,...

User Quintana
by
8.9k points

2 Answers

4 votes

Answer:

9 565 938

Explanation:

User Daniel Rosenthal
by
7.7k points
6 votes

Answer:

a₁₅ = 9 565 938

Explanation:

6÷2 = 3 and 18÷6 = 3 so: q = 3


a_n=a_1\cdot q^(n-1)\\\\a_1=2\\q=3\\n=15\\\\a_(15)=2\cdot3^(15-1)\\\\a_(15)=2\cdot3^(14)\\\\a_(15)=9\,565\,938

User Nepho
by
8.3k points
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