gianedemesa04 gianedemesa04
  • 22-06-2019
  • Mathematics
contestada

What is the sum of the terms in the sequence
3, 6, 9, …, 99?
​

Respuesta :

konrad509
konrad509 konrad509
  • 22-06-2019

[tex]S_n=\dfrac{a_1+a_n}{2}\cdot n\\a_1=3\\d=3\\a_n=99\\n=?\\\\a_n=a_1+(n-1)\cdot d\\99=3+(n-1)\cdot 3\\3n-3=96\\3n=99\\n=33\\\\S_{33}=\dfrac{3+99}{2}\cdot33=51\cdot33=1683[/tex]

Answer Link

Otras preguntas

A mathematician goes to his friend's house and asks his friend to guess the age of his three daughters: * The product of their ages is 72. *The sum of their age
how do you solve:6r+7=13+7r
$25;300%increse percent change
how large is the tallest building in the world?
The movie Avatar is the number one movie in U.S. history, earning $760,507,625. The second place movie is Titanic, earning $600,788,188. what percent is $600,78
In Ephesians 6:14-18,List what we are suppose to do to put on the whole armor of god
(HC)The graph below shows the level of voter turnout in presidential elections from 1824 to 2008: Based on the information in the graph and what you've learn
4 students each made a list of prime numbers . Eirc : 5,7,17.23 Maya; 3,5,13,17 Ball; 2,3,17,19, Jordan; 7,11,13,21 How made an error and incluled a compiste nu
iron(III) oxide + carbon yields carbon monoxide and iron (write the correct formulas and then balance)
During a prewriting strategy, you list your first day of school, a family trip, the birth of your baby brother, and your surprise party. Which strategy does thi