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2 years ago

What is 254−−√+524−−√ in simplified radical form? Enter your answer in the box.

Mathematics

2 answers:

Vesna [10]2 years ago

8 0

Answer:

Step-by-step explanation:

2√54+5√24

2 * sqrt(9*6) + 5*sqrt(4*6)

2*sqrt(9) *sqrt(6) + 5*sqrt(4) * sqrt(6)

2*3 sqrt(6) + 5*2 sqrt(6)

6sqrt(6)+10sqrt(6)

16sqrt(6)

Setler [38]2 years ago

4 0

Answer:

16sqrt(6)

Step-by-step explanation:

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3 years ago

Enter a recursive rule for the geometric sequence. 6, −18, 54, −162, ...

svlad2 [7]

Answer:

The required recursive formula is:

$a_n=(-3)\times a_{n-1}$

Step-by-step explanation:

We are given a geometric sequence as:

6,-18,54,-162,.....

Clearly after looking at different terms of the sequence we could observe that the sequence is an geometric progression (G.P.) with common ratio= -3 denoted by r.

Let $a_n$ represents the nth term of the sequence.

This means that:

$a_1=6, a_2=-18, a_3=54, a_4=-162,......$

As the common ratio is -3.

so,

$a_1=6\\\\a_2=-18=(-3)\times a_1\\\\a_3=54=(-3)\times a_2\\\\.\\.\\.\\.\\.\\.\\.\\.\\.a_n=(-3)\times a_{n-1}$

Hence, the required recursive formula for the geometric sequence is:

$a_n=(-3)\times a_{n-1}$

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