smadrid1293 smadrid1293

04-09-2017
Mathematics

contestada

What is the sum of the sequence 1+3+5+7+...+99
Use Gauss's approach to find the following sum.

Respuesta :

mathmate mathmate

05-09-2017

Gauss's approach is to add the same sequence in reverse order, namely

S=1+3+5+7+......+95+97+99
S=99+97+95+......+7+5+3+1
---------------------------------------
2S=(1+99)+(3+97)+(5+95)+......(95+5)+(97+3)+(99+1)=50*100=5000
=> sum = (2S)/2 = 5000/2=2500.

Answer Link

Otras preguntas

A doctor administers a drug to a 38-kg patient, using a dosage formula of 50 mg/kg/day. Assume that the drug is available in a 100 mg per 5 mL suspension or

you have 2 plants of the same type and same size, same amount of leaves. One of them is put inside the house and the other one is put in the balcony. You water

The liabilities of Cullumber are $99,000. Owner’s capital is $143,000; drawings are $96,000; revenues, $467,000; and expenses, $301,000. What is the amount of C

I need help finding x and y

PLEASE HELP ASAP! I'm not good math and I'm lost.

A man tries to push a box of mass 4 kg with a force of 5 N but the box remains stationary If the coefficient of static friction is 0.45, what is the value of th

What is 2.05/F = 12.71

What are the solutions of the equation? 16x^2 + 24x + 5 = 5 a. 1/4, 5/4 b. -1/4, -5/4 c. -1/4, 5/4 d. 1/4 , -5/4

You and a friend went to the movies.You spent half your money on tickets. Then you spent 1/4 of the money on popcorn, $2 on candy, and $3 on a soda. If you have

A triangle has a side lengths of 18cm, 80 cm and 81cm. Classify it as acute obtuse or right?