2 years ago

Find the missing term in the geometric sequence. 180,___,5

Mathematics

1 answer:

Elan Coil [88]2 years ago

7 0

Answer:

30.

Step-by-step explanation:

first term = a

3r term = ar^2

So here ar^2/ a = r^2

r^2 = 5/180 = 1/36

r = 1/6

So missing term = 180 * 1/6 = 30.

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2 years ago

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Colt1911 [192]

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$\log_b\dfrac{A^5\cdot C^2}{D^6}\\ \\=\log_b(A^5\cdot C^2)-\log_bD^6\\ \\=\log_bA^5+\log_bC^2-\log_bD^6\\ \\=5\log_bA+2\log_bC-6\log_bD\\ \\=5\cdot 3+2\cdot 2-6\cdot 5\\ \\=15+4-30\\ \\=-11$

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