Find the first five terms of the geometric sequence. $a _ { 1 } = 5 , r = 3$
A) $5,15,45,135,405$
B) $9,27,81,243,729$
C) $15,45,135,405,1215$
D) $1,3,9,27,81$
E) $3,9,27,81,243$

Question

Find the first five terms of the geometric sequence.   $a _ { 1 } = 5 , r = 3$  
A) $5,15,45,135,405$
B) $9,27,81,243,729$
C) $15,45,135,405,1215$
D) $1,3,9,27,81$
E) $3,9,27,81,243$

Quizplus · Accepted Answer

The first term is given as 5, and the common ratio is 3. The nth term of a geometric sequence is given by $a_n = a_1 \cdot r^{(n-1)}$. Applying this formula: $5, 5\cdot3, 5\cdot3^2, 5\cdot3^3, 5\cdot3^4$ yields $5, 15, 45, 135, 405$.

Find the First Five Terms of the Geometric Sequence a1=5,r=3a _ { 1 } = 5 , r = 3a1​=5,r=3

Find the First Five Terms of the Geometric Sequence $a _ { 1 } = 5 , r = 3$