Iklan

Pertanyaan

∑ n = 1 3 ​ n ( 2 n + 1 ) = ⋯

  1. 33

  2. 34

  3. 35

  4. 36

  5. 37

Ikuti Tryout SNBT & Menangkan E-Wallet 100rb

Habis dalam

02

:

06

:

12

:

00

Klaim

Iklan

A. Acfreelance

Master Teacher

Jawaban terverifikasi

Pembahasan

Perhatikan bahwa Misalkan . Maka didapat Sehingga

Perhatikan bahwa

begin mathsize 14px style sum from n equals 1 to 3 of f left parenthesis n right parenthesis equals f left parenthesis 1 right parenthesis plus f left parenthesis 2 right parenthesis plus f left parenthesis 3 right parenthesis end style    

Misalkan begin mathsize 14px style f left parenthesis n right parenthesis equals n left parenthesis 2 n plus 1 right parenthesis end style.

Maka didapat

begin mathsize 14px style f left parenthesis 1 right parenthesis equals 1 left parenthesis 2 left parenthesis 1 right parenthesis plus 1 right parenthesis equals 1 left parenthesis 2 plus 1 right parenthesis equals 1 left parenthesis 3 right parenthesis equals 3 f left parenthesis 2 right parenthesis equals 2 left parenthesis 2 left parenthesis 2 right parenthesis plus 1 right parenthesis equals 2 left parenthesis 4 plus 1 right parenthesis equals 2 left parenthesis 5 right parenthesis equals 10 f left parenthesis 3 right parenthesis equals 3 left parenthesis 2 left parenthesis 3 right parenthesis plus 1 right parenthesis equals 3 left parenthesis 6 plus 1 right parenthesis equals 3 left parenthesis 7 right parenthesis equals 21 end style   

Sehingga

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell sum from n equals 1 to 3 of f left parenthesis n right parenthesis end cell equals cell f left parenthesis 1 right parenthesis plus f left parenthesis 2 right parenthesis plus f left parenthesis 3 right parenthesis end cell row cell sum from n equals 1 to 3 of n left parenthesis 2 n plus 1 right parenthesis end cell equals cell 3 plus 10 plus 21 end cell row blank equals 34 end table end style   

Perdalam pemahamanmu bersama Master Teacher
di sesi Live Teaching, GRATIS!

3

Iklan

Pertanyaan serupa

Nilai dari ∑ i = 1 4 ​ (( − 2 ) n − 1 − n 2 ) adalah...

2

0.0

Jawaban terverifikasi

RUANGGURU HQ

Jl. Dr. Saharjo No.161, Manggarai Selatan, Tebet, Kota Jakarta Selatan, Daerah Khusus Ibukota Jakarta 12860

Coba GRATIS Aplikasi Roboguru

Coba GRATIS Aplikasi Ruangguru

Download di Google PlayDownload di AppstoreDownload di App Gallery

Produk Ruangguru

Hubungi Kami

Ruangguru WhatsApp

+62 815-7441-0000

Email info@ruangguru.com

[email protected]

Contact 02130930000

02130930000

Ikuti Kami

©2025 Ruangguru. All Rights Reserved PT. Ruang Raya Indonesia