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Zinaida [17]
3 years ago
9

Add. 5/6+2 3/4 Enter the sum in the box as a mixed number in the simplest form.

Mathematics
2 answers:
victus00 [196]3 years ago
6 0

5/6+2 3/4

= 10/12 + 2 9/12

= 2 19/12

= 3 7/12

Hope that helps

erastova [34]3 years ago
5 0

Mixed Number Form:3\frac{7}{12}

Step by step: \frac{5}{6} + 2\frac{3}{4}

= \frac{5}{6} + \frac{11}{4}

= \frac{43}{12}

Answer: 3\frac{7}{12}

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In a geometric sequence, a4 = 54 and a7 = 1,458. what is the 12th term? <br><br> answer: B) 354,294
slamgirl [31]

Option B:

The 12th term is 354294.

Solution:

Given data:

a_4=54 and a_7=1458

To find a_{12}:

The given sequence is a geometric sequence.

The general term of the geometric sequence is a_n=a_1\ r^{n-1}.

If we have 2 terms of a geometric sequence a_n and a_k (n > K),

then we can write the general term as a_n=a_k\ r^{n-k}.

Here we have a_4=54 and a_7=1458.

So, n = 7 and k = 4 ( 7 > 4)

a_7=a_4\ .\ r^{7-4}

1458=54\ . \  r^3

This can be written as

$r^3=\frac{1458}{54}

$r^3=27

$r^3=3^3

Taking cube root on both sides of the equation, we get

r = 3

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a_{12}=354294

Hence the 12th term of the geometric sequence is 354294.

7 0
3 years ago
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