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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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A construction crew is building a two story house, but they have not built the staircase between the floor yet. The height of th
Naya [18.7K]

Answer:

13.4feet

Step-by-step explanation:

The set up forms a right triangle.

Given

Height of the staircase h = 12 feet

Base of the stairs b = 6feet

Required

Length of the ramp l

Using the pythagoras theorem

l² = h² + b²

l² = 12²+6²

l² = 144 + 36

l² = 180

l = √180

l = 13.42 feet

Hence the length of the ramp to the nearest tenth is 13.4feet

6 0
3 years ago
Explain the importance of graphs in interpreting data.
lina2011 [118]
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3 0
3 years ago
Find the nth term of the geometric sequence whose initial term is a1
Alborosie

Answer:

Step-by-step explanation:

geometric progresion formula:

a_n=a_1*r^{n-1}\\a_1=0.5\\r=10\\a_n=0.5*10^{n-1}

6 0
2 years ago
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kherson [118]
The answer is 36 because in order to find area you multiply length and width so:

A= L x W
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8 0
3 years ago
Read 2 more answers
Determine the nth term rule and find the 45th term for the arithmetic sequence with a10=1 and d-6
kari74 [83]

Answer: -209

Step-by-step explanation:

Formula for arithmetic progression

= a + (n - 1)d

Since a10 = 1 and d = -6

a10 = a + 9d

a + 9(-6) = 1

a - 54 = 1

a = 1 + 54

a = 55

Therefore, 45th term = a + (n - 1)d

= a + (45 - 1)d

= a + 44d

= 55 + 44(-6)

= 55 - 264

= -209

4 0
3 years ago
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