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3 years ago

Convert to expanded form. 908,506,742

Mathematics

2 answers:

Pani-rosa [81]3 years ago

8 0

Answer:

908,506,742

Explanation,

☆ 9*10^8 + 0*10^7 + 8*10^6 + 5*10^5 + 0*10^4 + 6*10^3 + 7*10^2 + 4*10^1 + 2*10^0

☆ 900,000,000 + 0 + 8,000,000 + 500,000 + 0 + 6,000 + 700 + 40 + 2

→ 908,506,742

I hope you know this answer

katrin2010 [14]3 years ago

6 0

Answer:

900,000,000+8,000,000+500,000+6,000+700+40+2

Step-by-step explanation:

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S=a1/1-r

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Answer:

Step-by-step explanation:

This is an infinite geometric series. This has a sum of $\frac{a}{1-r}$

Where

a is the first term, and

r is the common ratio (one term divided by the previous term)

Let's figure out the first 2 terms by plugging in n = 1 first and then n = 2 for the series.

First term:

$3(\frac{1}{4})^{n-1}\\=3(\frac{1}{4})^{1-1}\\=3(\frac{1}{4})^0\\=3(1)\\=3$

Second term:

$3(\frac{1}{4})^{n-1}\\=3(\frac{1}{4})^{2-1}\\=3(\frac{1}{4})^1\\=3(\frac{1}{4})\\=\frac{3}{4}$

Let's see the common ratio: $\frac{\frac{3}{4}}{3}\\=\frac{3}{4}*\frac{1}{3}\\=\frac{1}{4}$

Thus we have a = 3 and r = 1/4. Plugging into the formula of the infinite sum, we get:

$s=\frac{a}{1-4}=\frac{3}{1-\frac{1}{4}}=\frac{3}{\frac{3}{4}}=3*\frac{4}{3}=4$

So, the answer is 4

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