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yulyashka [42]
3 years ago
11

What is 12,447 in Scientific notation

Mathematics
2 answers:
zimovet [89]3 years ago
5 0

Answer: 1.2447 * 10^4

Step-by-step explanation:

1.2447 × 10^4

( scientific notation )

Move the decimal point in your number until there is only one non-zero digit to the left of the decimal point.

jeka943 years ago
3 0

Answer:

1.2447 x 10^4

Step-by-step explanation:

The answer would be 1.2447 times 10 to the fourth power because to find the first part (1.2447), move the decimal place one place to the right. (.12447-> 1.2447)

Next, count how many places are to the right of the decimal.

1.<u>2447</u> = 4

So, that would get you 1.2447 times 10 to the power of 4.

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Which formula can be used to find the nth term of a geometric sequence where the fifth term is 1/6 and the common ratio is 1/4?
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Answer:

a_n = 16(\frac{1}{4})^{n - 1}

Step-by-step explanation:

Given:

Fifth term of a geometric sequence = \frac{1}{16}

Common ratio (r) = ¼

Required:

Formula for the nth term of the geometric sequence

Solution:

Step 1: find the first term of the sequence

Formula for nth term of a geometric sequence = ar^{n - 1}, where:

a = first term

r = common ratio = ¼

Thus, we are given the 5th term to be ¹/16, so n here = 5.

Input all these values into the formula to find a, the first term.

\frac{1}{16} = a*\frac{1}{4}^{5 - 1}

\frac{1}{16} = a*\frac{1}{4}^{4}

\frac{1}{16} = a*\frac{1}{256}

\frac{1}{16} = \frac{a}{256}

Cross multiply

1*256 = a*16

Divide both sides by 16

\frac{256}{16} = \frac{16a}{16}

16 = a

a = 16

Step 2: input the value of a and r to find the nth term formula of the sequence

nth term = ar^{n - 1}

nth term = 16*\frac{1}{4}^{n - 1}

a_n = 16(\frac{1}{4})^{n - 1}

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