2. Find the 10 th term of the geometric sequence 3,6,12, ldots

Question

Accepted Answer

Step:1 ：Given a geometric sequence with the first term (a_1 = 3), the common ratio (r = 2), and we are asked to find the 10th term (n = 10).Step:2 ：The formula for the nth term of a geometric sequence is (a_n = a_1 * r^{(n-1)}).Step:3 ：Substitute the given values into the formula: (a_n = 3 * 2^{(10-1)}).Step:4 ：Simplify the expression to find the 10th term: (a_n = 1536).Step:5 ：Final Answer: The 10th term of the geometric sequence is (boxed{1536}).

Answer

Step: 1 ：Given a geometric sequence with the first term (a_1 = 3), the common ratio (r = 2), and we are asked to find the 10th term (n = 10).Step: 2 ：The formula for the nth term of a geometric sequence is (a_n = a_1 * r^{(n-1)}).Step: 3 ：Substitute the given values into the formula: (a_n = 3 * 2^{(10-1)}).Step: 4 ：Simplify the expression to find the 10th term: (a_n = 1536).Step: 5 ：Final Answer: The 10th term of the geometric sequence is (boxed{1536}).

2. Find the 10 th term of the geometric sequence $3, 6, 12, \dots$

Answer

Popular Problems

2. Find the 10 th term of the geometric sequence 3,6,12,…

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Popular Problems

2. Find the 10 th term of the geometric sequence $3, 6, 12, \dots$