# MATHS

posted by .

Find the value of 1/10+1/100+1/1000+1/10000+...

• MATHS -

you have a geometric series
with
a = 1/10 and r = 1/10

sum(∞ = a/(1-r)
= (1/10) / (9/10)
= (1/10)(10/9) = 1/9

## Similar Questions

1. ### math

how many centimeters are there in: a decimeter: a meter: a hectometer: 10 100 10000 10 100 10000
2. ### Sandy

Hi, I need some help with this problem: The density of ice is 920 kg/m3, and that of sea water is 1030 kg/m3. What fraction of the total volume of an iceberg is exposed?
3. ### math,correction

The problem states: In planning for a new item, a manufacturer assumes that the number of items produced X and the cost in dollars C of producing these items are related by a linear equation. Projections are that 100 items will cost …
4. ### math

what formulas do i use for this: Investments Suppose \$10,000 is invested at an annual rate of 5% for 10 years. Find the future value if interest is compounded as follows. A) Annually B) Quarterly C) Monthly D)Daily (365 days) A) 10000*(1+.05)^10 …
5. ### maths

1. 657 litres ---mm * 100 = answer * 10 2. 657 litres ----ml *1000 3. 54268g -----kg /1000 = 4.243cm2 ------ m2 /100 a) 147 - 486 + 547 b)7(-5) +4 (-8) c)9 2/3- 7 3/4 d)66 2/3 % of R900 e) 5/8 * 0,64
6. ### Maths

When the numerator and denominator of a fraction are each increased by 5, the value of the fraction becomes 3/5 When the numerator and denominator of that same fraction are each decreased by 5, the fraction is then 1/5 Find the original …
7. ### Statistics

There is a \$2 raffle with a first prize of \$10000, a second prize of \$500, and a 3rd prize of \$100. If 1000 tickets are sold find the expected value. How much should the raffle ticket cost to make this a fair game?
8. ### math

A girl bought some pencils, erasers, and paper clips at the stationery store. The pencils cost IDR. 1000 each, the erasers cost IDR. 500 each and the paper clips cost 2 for IDR. 100. If she bought total cost IDR. 10000, how many of …
9. ### statistics

A lottery offers one \$10000 prize, one \$5000 prize and five \$1000 prizes. 1000 tickets are sold at \$30 each . Find the expectation if a person buys one ticket workings: 9970/1000+4970/1000+4850/1000-29790/1000 = -10000/1000 =-\$10
10. ### math

(MC) If the compound interest on \$1000 for two years at 9% p.a., payable half-yearly is \$x, find x. A) 1000x9/100x2 B) 1000(1+9/100)⁴ C) 1000(1+4.5/100)⁴ D) 1000(1+9/100)²-1000 E) 1000(1+4.5/100)⁴-1000

More Similar Questions