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kumpel [21]
2 years ago
9

In a movie theater, the first row contains 3 seats, the second row contains 6 seats, the third row contains 9 seats, and the fou

rth row contains 12 seats.
A.) Write explicit rule for sequence
B.) Write recursive rule for sequence.
Mathematics
1 answer:
yanalaym [24]2 years ago
7 0

Answer:It's an arithmetic sequence with a common difference, d, = 4

A1 = 8

A2 = 8+4 = 12

A3 = 12+4 = 16   = 8+4(3-1) = 8+4(2) = 8+8

AN = A1 + d(N-1)

AN = 8 +4(N-1)  =  the Nth term in the sequence

Step-by-step explanation: hoped it helped

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In a chest there are some gold coins. Captain takes half the coins. Sally takes a quarter of the coins. There are 3 coins left.
amid [387]

Answer:

<u>There were 12 gold coins in the chest at the start.</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

x = Number of gold coins in a chest

1/2x = Number of gold coins taken by the captain

1/4x = Number of gold coins taken by Sally

3 = Number of gold coins left

2. How many coins were in the chest at the start?

Let's write the following equation to solve for x:

1/2x + 1/4x + 3 = x

2x + x + 12 = 4x (Lowest Common Denominator is 4)

4x - 2x - x = 12 (Like terms)

x = 12

<u>There were 12 gold coins in the chest at the start.</u>

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3 years ago
(a) Which of the following has only one subset? (1)
Jlenok [28]

Answer:

Option (i)

Step-by-step explanation:

{2} has only 1 subset i.e. {2} and no other subset. While { } or ∅ has no subset.

4 0
3 years ago
The volume of a? cone-shaped hole is 49 pi ft cubed . If the hole is 3 ft? deep, what is the radius of the? hole?
lidiya [134]

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Charles can type 675 words in 9 minutes. How many words can Charles type in 13 minutes?
tangare [24]
Charles can type 975 in 13 mins
5 0
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Alexandra [31]

Answer:

Hence the domain is given as,b is such that b is a member of all real numbers,except b=0,a=0, a=-b

Step-by-step explanation:

The domain refers to values for which the expression is defined.

This implies that, the denominators are not equal to zero.

(\frac{a + b}{b} -  \frac{a}{a + b}) \div ( \frac{a + b}{a} -  \frac{b}{a + b})

(\frac{(a + b)(a + b)-ab}{b(a + b)})\div(\frac{(a + b)(a + b)-ab}{a(a + b)})

\frac{(a + b)(a + b)-ab}{b(a + b)} \times\frac{a(a + b)}{(a + b)(a + b)-ab}

\implies \frac{a}{b}

Hence the domain is given as,b is such that b is a member of all real numbers,except b=0,a=0, and a=-b

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