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Kitty [74]
2 years ago
10

What's next in this series: 324, 256, 196, 144?​

Mathematics
2 answers:
nydimaria [60]2 years ago
8 0

Next term will be 100

as series is 18²,16²,14²,12² so next will be 10²

hope it helps

Aliun [14]2 years ago
4 0

Answer:

Step-by-step explanation:

Discussion

The series starts out with 324 which is 18^2

The next number is 256 which is 16^2

The next number is 196 which is 14^2

The final given number is 144 which is 12^2

===========================

So the next number in line is 100 which is 10^2

The pattern is even numbers that are squared. The even numbers are going down so that the next number down would be 64

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6 0
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Please someone help me to prove this. ​
morpeh [17]

Answer:  see proof below

<u>Step-by-step explanation:</u>

Use the Double Angle Identity: sin 2Ф = 2sinФ · cosФ

Use the Sum/Difference Identities:

sin(α + β) = sinα · cosβ + cosα · sinβ

cos(α - β) = cosα · cosβ + sinα · sinβ

Use the Unit circle to evaluate: sin45 = cos45 = √2/2

Use the Double Angle Identities:   sin2Ф = 2sinФ · cosФ

Use the Pythagorean Identity: cos²Ф + sin²Ф = 1

<u />

<u>Proof LHS → RHS</u>

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Unit Circle:    2[(√2/2)cos2A + (√2/2)sin2A][(√2/2)cos2A +(√2/2)·sin2A)]  

Expand:        2[(1/2)cos²2A  + cos2A·sin2A + (1/2)sin²2A]

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6 0
3 years ago
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4 0
3 years ago
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Sphinxa [80]

Answer:

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18 is seen 1 time

24 is seen 3 times

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37 is seen 2 times

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4 0
3 years ago
Read 2 more answers
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