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WARRIOR [948]
3 years ago
10

These are the first six terms of a sequence with a = 2:

Mathematics
1 answer:
inn [45]3 years ago
7 0

Answer:

a_{n} = 9a_{n-1}

Step-by-step explanation:

Note there is a common ratio r between consecutive terms of the sequence, that is

r = 18 ÷ 2 = 162 ÷ 18 = 1458 ÷ 162 = 13122 ÷ 1458 = 9

A recursive formula allows a term in the sequence to be found by multiplying the previous term by the common ratio, that is

a_{n} = 9a_{n-1} with a₁ = 2

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Any number bigger than 3
4,5,6,7 are 4 numbers
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Roger has 47 cars. Can he group the cars in more than 2 ways?
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Yes he can, he could do:

1 : 46
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If a = 5, b = 4, and c = 7, find the value for 3(b + a) = c.<br> 10<br> 15<br> 34<br> 20
Debora [2.8K]

Answer:

20

Step-by-step explanation:

3 (b + a) = c

3 (4 + 5) = 7

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7 0
3 years ago
Read 2 more answers
What’s 7= y-2/3 if you’re solving for y
Rus_ich [418]

Answer:

y = 23/3

Step-by-step explanation:

Simplify both sides of equation

7 = y + -2/3

Flip equation

y + -2/3 = 7

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y + -2/3 + 2/3 = 7 + 2/3

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6 0
3 years ago
The coffee Lily likes is composed of 97.3% water and 2.7% cocoa. The coffee John likes is composed of 96% water and 4% cocoa. Ho
mestny [16]

30 ounces of the coffee John likes consists of

  • 0.96\cdot30=28.8 ounces of water
  • 0.04\cdot30=1.2 ounces of cocoa

To this mixture we're adding x ounces of water, so that the new mix has a total volume of 30+x ounces and matches the composition of the coffee Lily likes. This means it would consist of

  • 0.973\cdot(30+x)=28.8+x ounces of water
  • 0.027\cdot(30+x)=1.2 ounces of cocoa (same amount of cocoa as before because pure water is being added)

Solve for x:

0.973(30+x)=28.8+x\implies29.12+0.973x=28.8+x

\implies0.39=0.027x

\implies x\approx14.4

###

Just to confirm: the new mixture consists of

  • 28.8+14.4=43.2 ounces of water
  • 1.2+0=1.2 ounces of cocoa

giving a total volume of 43.2+1.2=44.4 ounces of coffee, and \dfrac{43.2}{44.4}\approx0.973, as required.

4 0
3 years ago
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