marissakirk8785 marissakirk8785
  • 02-02-2019
  • Mathematics
contestada

An arithmetic series a consists of consecutive integers that are multiples of 4 what is the sum of the first 9 terms of this sequence if the first term is 0

Respuesta :

parmesanchilliwack parmesanchilliwack
  • 12-02-2019

Answer: 144

Step-by-step explanation:

Since, the first 9 multiple of 4 starts from 0 are,

0, 4, 8, 12, 16, 20, ................

Which is an AP,

Having the first term, [tex]a_1 = 0[/tex]

And, the successive difference, d = 4,

Since, the sum of the n term of an AP,

[tex]S_n = \frac{n}{2}[2a + (n-1)d][/tex]

Hence the sum of 9 term of the above AP,

[tex]S_9 = \frac{9}{2}[2\times 0 + (9-1)\times 4][/tex]

[tex]S_9 = \frac{9}{2}(0 + 8\times 4)[/tex]

[tex]S_9 = \frac{9}{2}(32)[/tex]

[tex]S_9 = \frac{288}{2}=144[/tex]

Answer Link

Otras preguntas

Rachel and David share 40 biscuits between them in the ratio 2:3, How many biscuits do they each get?
Describe a pattern in the sequence of numbers. Predict the next number. 1) 1, 2, 6, 24, ___ 2) 0, 3, 8, 15, 24, ___
Please answer:If a stadium holds 60000 people.1. If the stadium is 2/3 full, how many people are there?2. If the stadium is 3/4 full, how many people are there?
What is a synonym for sensory language?A.simileB.fluencyC.metaphorD.imagery im thinkin D?
Which characteristic is shared by sonnets and haiku?
How do I solve for x? X+6x=56
how can bureaucratic personality be dangerous
All of the following are types of lyric poetry except; A. tankas. B. ballads. C. sonnets. D. madrigals.
Where did the Greeks believe that most gods lived
Hello, I need help please for mission 3 thank you very much.