johnniedavila87 johnniedavila87
  • 23-02-2016
  • Mathematics
contestada

How many terms are in the arithmetic sequence 1313, 1616, 1919, ……, 7070, 7373?

Respuesta :

taskmasters
taskmasters taskmasters
  • 02-03-2016
To find the number of terms in the arithmetic sequence, we need to use the formula 
[tex] a_{n}= a_{1}+(n-1)d [/tex]    
where [tex] a_{n} [/tex] is the nth number, [tex] a_{1} [/tex] is the first number, n is the number of terms and d is the difference of the two consecutive numbers.
7373 = 1313 + (n - 1)(303)
7373 = 1313 + 303n - 303
7373 = 1010 + 303n
7373 - 1010 = 303n
6363 = 303n
6363 ÷ 303 = n
n = 21

Therefore, there are 21 terms in the arithmetic sequence given.
Answer Link

Otras preguntas

a blueprint of a building has a ratio of 4in: 3ft. if one of thw walls on the blueprint is 24inches, what is the actual lenght of the wall?​
PLEASE ANSWER ASAP WORTH 15 POINTS ASAP THANKS​
please it’ll with french 2
what was the importance of the edict of milan
7TH GRADE MATH!! JUST NUMBER 28! THANKS!! :)
Given a = -3 and b = 4 and c = -5, evaluate -1/5 1/5 -7/5
A news reporter wants to estimate the percentage of registered voters who will vote for a particular candidate in an upcoming election. Which statement describ
Review the theme: Sometimes traditions continue long after they've outlived their usefulness. Which detail from "The Lottery" best contributes to this theme? T
What’s the name of Cals church and how did it get that name
How are the functions f(x) = 16* and g(x) = 16 2 * related? O The output values of g(x) are one-half the output values of f(x) for the same value O The output v