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Time

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Defining Geometric Mean

What is the Geometric Mean $a$ and $b$ ?

$ab$

$a+b$

$\sqrt{ab}$

Is the sentence true or false?
The Geometric Mean (GM) is the average value or mean which signifies the central tendency of the set of numbers by taking the root of the product of their values.

True

False

What is the Geometric Mean of 1, 3, 9, 27 and 81?

16

15

9

What is the Geometric Mean of 10, 51.2 and 8?

16

15

12

Is the sentence true or false?
To find Geometric Mean we multiply the 'n' values altogether and take out the n^throot of the numbers.

True

False

What is the Geometric Mean of $a_1,a_2,\dots,a_n$ ?

$a_1+a_2+⋯+a_n$

$\sqrt[n]{a_1a_2\dots a_n}$

$a_1a_2,\dots a_n$

What is the Geometric Mean of 1 and 15?

4

6

5

Given the geometric sequence :

What is the Geometric Mean of $a_1,a_2,\dots,a_5$ ?

$a_1+a_2+⋯+a_n$

$\sqrt[n]{a_1a_2\dots a_n}$

$\sqrt[5]{a_1a_2\dots a_5}$

What is the Geometric Mean of $a_1,a_2,\dots,a_{10}$ ?

$a_1+a_2+⋯+a_n$

$\sqrt[n]{a_1a_2\dots a_n}$

$\sqrt[10]{a_1a_2\dots a_{10}}$

Questions

Time

Score

Defining Geometric Mean

What is the Geometric Mean ﻿aaa﻿ and ﻿bbb﻿ ?

﻿ababab﻿

﻿a+ba+ba+b﻿

﻿ab\sqrt{ab}ab​﻿

Is the sentence true or false?The Geometric Mean (GM) is the average value or mean which signifies the central tendency of the set of numbers by taking the root of the product of their values.

True

False

What is the Geometric Mean of 1, 3, 9, 27 and 81?

16

15

9

What is the Geometric Mean of 10, 51.2 and 8?

16

15

12

Is the sentence true or false?To find Geometric Mean we multiply the 'n' values altogether and take out the nth root of the numbers.

True

False

What is the Geometric Mean of ﻿a1,a2,…,ana_1,a_2,\dots,a_na1​,a2​,…,an​﻿ ?

﻿a1+a2+⋯+ana_1+a_2+⋯+a_na1​+a2​+⋯+an​﻿

﻿a1a2…ann\sqrt[n]{a_1a_2\dots a_n}na1​a2​…an​​﻿

﻿a1a2,…ana_1a_2,\dots a_na1​a2​,…an​﻿

What is the Geometric Mean of 1 and 15?

4

6

5

Given the geometric sequence :

What is the Geometric Mean of ﻿a1,a2,…,a5a_1,a_2,\dots,a_5a1​,a2​,…,a5​﻿?

﻿a1+a2+⋯+ana_1+a_2+⋯+a_na1​+a2​+⋯+an​﻿

﻿a1a2…ann\sqrt[n]{a_1a_2\dots a_n}na1​a2​…an​​﻿

﻿a1a2…a55\sqrt[5]{a_1a_2\dots a_5}5a1​a2​…a5​​﻿

What is the Geometric Mean of ﻿a1,a2,…,a10a_1,a_2,\dots,a_{10}a1​,a2​,…,a10​﻿ ?

﻿a1+a2+⋯+ana_1+a_2+⋯+a_na1​+a2​+⋯+an​﻿

﻿a1a2…ann\sqrt[n]{a_1a_2\dots a_n}na1​a2​…an​​﻿

﻿a1a2…a1010\sqrt[10]{a_1a_2\dots a_{10}}10a1​a2​…a10​​﻿

Incorrect

Great!

What is the Geometric Mean $a$ and $b$ ?

$ab$

$a+b$

$\sqrt{ab}$

Is the sentence true or false?
The Geometric Mean (GM) is the average value or mean which signifies the central tendency of the set of numbers by taking the root of the product of their values.

Is the sentence true or false?
To find Geometric Mean we multiply the 'n' values altogether and take out the n^throot of the numbers.

What is the Geometric Mean of $a_1,a_2,\dots,a_n$ ?

$a_1+a_2+⋯+a_n$

$\sqrt[n]{a_1a_2\dots a_n}$

$a_1a_2,\dots a_n$

What is the Geometric Mean of $a_1,a_2,\dots,a_5$ ?

$a_1+a_2+⋯+a_n$

$\sqrt[n]{a_1a_2\dots a_n}$

$\sqrt[5]{a_1a_2\dots a_5}$

What is the Geometric Mean of $a_1,a_2,\dots,a_{10}$ ?

$a_1+a_2+⋯+a_n$

$\sqrt[n]{a_1a_2\dots a_n}$

$\sqrt[10]{a_1a_2\dots a_{10}}$