Question

QUIZ (1424)
Materi: Sigma

Tentukan hasil dari [tex] \displaystyle \sum\limits_{x=1}^{4}{14x+24} [/tex] !​

Answer 1

Verified answer

Jawaban:

Notasi Sigma

Penjelasan dengan langkah-langkah:

₄

∑(14x+24)

ˣ⁼¹

(14(1)+24)+(14(2)+24)+(14(3)+24)+(14(4)+24)

(14+24)+(28+24)+(42+24)+(56+24)

(38)+(52)+(66)+(80)

(90)+(146)

(236)

Demikian

Answer 2

Penjumlahan Total

[Notasi Sigma]

..

[tex]\displaystyle \sum\limits_{x=1}^{4}{14x+24} [/tex]

Penyelesaian Soal

[tex]\begin{aligned} S_n &= n \times \frac{U_1 + U_n}{2} \\ \\ S_4 &= 4 \times \frac{(14 \times 1 + 24) + (14 \times 4 + 24)}{2} \\&= \cancel{\red{ 4 }}~{}^2 \times \frac{38+ 80}{\cancel{\red{2}}} \\&= 2 \times 118 \\&= \boxed{\bold{\underline{236}}} \end{aligned}[/tex]

[tex]\begin{array}{lr}\texttt{Memperingati Hari POM-TNI 2023}\end{array}[/tex]

[tex]\boxed{\colorbox{ccddff}{Answered by Danial Alf'at | 11 - 05 - 2023}}[/tex]