If the first two terms of a geometric sequence are 4 and 12, which of the following would be the 10th term?

A) 76

B) 84

C) 78,732

D) 236,196

Question

Mathematics

Aliza Fletcher

14 July, 01:57

If the first two terms of a geometric sequence are 4 and 12, which of the following would be the 10th term?

A) 76

B) 84

C) 78,732

D) 236,196

+2

Answers (1)

Know the Answer?

Haleigh Quinn · Answer 1

78,732

Step-by-step explanation:

a_1 = 4

a_2 = 12

a_2/a_1 = 12/4 = 3

a_1 = 4

a_2 = 4 * 3 = 4 * 3^1 = 12

a_3 = 4 * 3 * 3 = 4 * 3^2 = 36

a_n = 4 * 3^ (n - 1)

For n = 10:

a_10 = 4 * 3^ (10 - 1) = 4 * 3^9 = 4 * 19,683 = 78,732

If the first two terms of a geometric sequence are 4 and 12, which of the following would be the 10th term?A) 76B) 84C) 78,732D) 236,196

If the first two terms of a geometric sequence are 4 and 12, which of the following would be the 10th term?

A) 76

B) 84

C) 78,732

D) 236,196