thedarkestknight772 thedarkestknight772
  • 19-11-2021
  • Mathematics
contestada

If an arithmetic sequence has terms a5 = 20 and a9 = 32, what is a15?

Respuesta :

topeadeniran2 topeadeniran2
  • 30-11-2021

Based on the information given, it can be deduced that the value of the 15th term is 50.

a + 8d = 32 ..... i

a + 4d = 20 ...... ii

Subtract ii from i

4d = 12

d = 12/4

d = 3

Therefore, a will be:

a + 4d = 20

a + 4(3) = 20

a + 12 = 20

a = 20 - 12 = 8

Therefore, the 15th term will be:

= a + 14d

= 8 + 14(3)

= 8 + 42

= 50

The 15th term is 50.

Read related link on:

https://brainly.com/question/25633495

Answer Link

Otras preguntas

a number multiplied by two, decreased by four, is greater than nine.
Helppppp math is my worst subject
describe the domain and range of f(x)= -square root of x+1
three times the square of a non-zero number is equal to nine times the number
the more men have to lose, the less willing are they to venture. what rhetorical strategy is thomas paine most clearly using in this line
Jasmine has twice as many stickers as Sarah. Sarah has 4 times as many stickers as Regine. If Jasmine has 112 stickers more than Regine, how many stickers does
the quantity x - 9 multiplied by -3 is equal to 51.
describe the domain and range of f(x)= -square root of x+1
Carla wants to know how many students in her school enjoy watching reality TV shows. She asks all 22 students in her science class and finds that 40% of her cla
Why did many women in classical China and India prefer Buddhism to other religions?