kikerjordan kikerjordan
  • 26-05-2020
  • Mathematics
contestada

Given the sequence below determine the 15th term.

14, 11, 8, 5, ...

Respuesta :

jimrgrant1 jimrgrant1
  • 26-05-2020

Answer:

- 28

Step-by-step explanation:

There is a common difference d  between consecutive terms, that is

d = 11 - 14 = 8 - 11 = 5 - 8 = - 3

This indicates the sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 14 and d = - 3 , thus

[tex]a_{15}[/tex] = 14 + (14 × - 3) = 14 - 42 = - 28

Answer Link

Otras preguntas

Suggest why there is a lid on the container.
Explain how you know when a linear equation in one variable has infinitely many solutions.?
A flagpole has a height of 10 yards. It will be supported by 3 cables, each of which is attached to the flagpole at a point 4 yards below the top of the pole an
what did leaders of Rhode Island believe would happen to religion if church and state were connected
3x+7=5x-21 Find the value of x
what is the proper adjective for Greece
We have: [tex] \overline{abc}[/tex] a,b,c are natural prime numbers and [tex]a\cdot b \cdot c=30[/tex] What are the numbers? Without using GUESS-WORK!
Which term best describes classical Greek depictions of the human form in sculpture? A. distorted B. abstract C. lifelike D. exaggerated
For which of these does mRNA provide the code? A. DNA B. proteins C. gametes D. organelles
adds to -18 and multiplies to 27