ShadowQuake8397 ShadowQuake8397
  • 21-10-2019
  • Mathematics
contestada

The sum of the first nine terms of an arithmetic series is 135, and the first term is 17. Find the ninth term.

Respuesta :

wagonbelleville wagonbelleville
  • 22-10-2019

Answer:

l = 13

Step-by-step explanation:

given,

Sum of first 9 term = 135

first term (a) = 17

n = 9

l = a + (n -1)d

l = 17 + (9-1)d

l = 17 + 8 d

[tex]S_n = \dfrac{n}{2}(a+l)[/tex]

[tex]135 = \dfrac{9}{2}(17+17 + 8 d)[/tex]

[tex]135 = {9}\times (17+ 4 d)[/tex]

15 = 17 + 4 d

d = -0.5

now 9 th term

l = 17 + 8 d

l = 17 + 8 × (-0.5)

l = 13

Answer Link

Otras preguntas

what is 45% of 36 feet
Underline the verbs that are in the wrong tense. Write the correct verb. 1. I graduated from high school last spring, then i take a trip to Europe right after t
Currently, about a. 5,000,000 b. 10,000,000 c. 1,000,000 people are living with HIV in the United States.
What is the approximate area of a circle with a radius of 13cm? A.40.8cm² B.530.7cm² C.784cm² D.2461.8 cm²
Which statement describes the cultural and generational perspectives revealed in Shakespeare’s sonnet 130 and “Perfect for Me” by Shwayze? Shakespeare idealize
If a government is interested in knowing the total income of its citizens (including remittances, or money earned in a foreign country and sent back home), it s
Give a description of a 3/4 of the turn of the minute hand on a clock face
A _____ climate zone, near a high-pressure band, encompasses hot, desert climates. tropical subtropical temperate polar
Cinco de Mayo is a federal holiday in Mexico.
which is greater 6,200 ft or 1 mi 900 ft?