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if 2 and 4 are two geometric means between a and b find the values of a and b​

Sagot :

Answer:

The geometric sequence is

1 , 2 , 4 , 8

where a = 1 and b = 8

Step-by-step explanation:

let a= first term

b= last term

a , 2 , 4 , b

Looking at the geometric sequence we get the common ratio by 2.

4÷2 = 2(common ratio)

To get the first term.We will divide the second term by 2.

2÷2 = 1 (first term or a)

To get the last term.We will multiply the third term by 2.

4x2 = 8(last term or b)

We get the geometric sequence:

1 , 2 , 4 , 8

Thus a= 1 and b=8

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