Ladybird2609 Ladybird2609
  • 01-12-2021
  • Mathematics
contestada

What is the 37th term of the arithmetic sequence with the first term -39 and the common difference of 8.

Respuesta :

cinderofsoulsss
cinderofsoulsss cinderofsoulsss
  • 01-12-2021

Answer:

[tex]a_{37}=249[/tex]

Step-by-step explanation:

A sequence that has a common difference is an arithmetic sequence:

[tex]a_n=a_1+(n-1)d[/tex]

where aₙ is the nth term, n is the index, and d is the common difference.

In your question:

  • n = 37
  • a₁ = -39
  • d = 8

Plug those into the formula:

[tex]a_{37}=-39+(37-1)8[/tex]

Then solve:

[tex]a_{37}=-39+(36)8\\a_{37}=-39+288\\a_{37}=249[/tex]

Answer Link

Otras preguntas

During the renaissance more Europe became increasingly interested in
What is the product? 3a(8a-6b)
a scalene triangle is an isosceles triangle true false
Which of the following would represent a single displacement reaction between Potassium Bromide (K^+Br^-) and Iodine (I), which forms iodide (I^-)? options:
a postal carrier can deliver to 130 houses in 2.5 hour. At this rate how many hours will it take to deliver to 312 house
What does the fossil of a mesoaur look like
Which graph can be used to find the solution(s) to x2-4x+4=2x-1-x2?
The global positioning system uses a network of satellites to determine the latitude, longitude, and elevation of a specific area. Please select the best ans
which answer is an equation in point slope form for the given point and slope point : (5,9) slope: 2
changing subscripts is one of the steps of balancing a chemical equation