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Marina86 [1]
3 years ago
15

73,000,000 in scientific notation

Mathematics
2 answers:
Radda [10]3 years ago
7 0
7.3x10^7 would be the answer
Dmitry [639]3 years ago
6 0
The answer is  7.3810 2
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Several terms of a sequence {an}n=1 infinity are given. A. Find the next two terms of the sequence. B. Find a recurrence relatio
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A)\frac{1}{1024},\frac{1}{4096}

B) \left\{\begin{matrix}a(1)=1 & \\ a(n)=a(n-1)*\frac{1}{4} &\:for\:n=1,2,3,4,... \end{matrix}\right.

C) \\a_{n}=nq^{n-1} \:for\:n=1,2,3,4,...

Step-by-step explanation:

1) Incomplete question. So completing the several terms:\left \{a_{n}\right \}_{n=1}^{\infty}=\left \{ 1,\frac{1}{4},\frac{1}{16},\frac{1}{64},\frac{1}{256},... \right \}

We can realize this a Geometric sequence, with the ratio equal to:

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A) To find the next two terms of this sequence, simply follow multiplying the 5th term by the ratio (q):

\frac{1}{256}*\mathbf{\frac{1}{4}}=\frac{1}{1024}\\\\\frac{1}{1024}*\mathbf{\frac{1}{4}}=\frac{1}{4096}\\\\\left \{ 1,\frac{1}{4},\frac{1}{16},\frac{1}{64},\frac{1}{256},\mathbf{\frac{1}{1024},\frac{1}{4096}}\right \}

B) To find a recurrence a relation, is to write it a function based on the last value. So that, the function relates to the last value.

\left\{\begin{matrix}a(1)=1 & \\ a(n)=a(n-1)*\frac{1}{4} &\:for\:n=1,2,3,4,... \end{matrix}\right.

C) The explicit formula, is one valid for any value since we have the first one to find any term of the Geometric Sequence, therefore:

\\a_{n}=nq^{n-1} \:for\:n=1,2,3,4,...

6 0
3 years ago
If the volume is 120, the length is 6 and the height is 5 what is the width?
Ghella [55]
The width is 4. 6lx5hx4w=120 volume
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