Respuesta :

TaeKwonDoIsDead

Answer:

C


Step-by-step explanation:

The summation basically means to plug in k=4, 5, 6, 7, 8, and 9 into the formula part  [tex]5k+3[/tex] and sum all of them up. So it becomes:

[tex](5(4)+3)+(5(5)+3)+(5(6)+3)+(5(7)+3)+(5(8)+3)+(5(9)+3)\\=23+28+33+38+43+48\\=213[/tex]


As seen from the work shown, C is the right answer.

kudzordzifrancis
ANSWER


C.

[tex]\sum_{k=4}^9(5k+3) = 23 + 28 + 33 + 38 + 43+ 48 = 213[/tex]


EXPLANATION

The given series is


[tex]\sum_{k=4}^9(5k+3)[/tex]
The symbol stands for summation, so we are adding from k=4 to k=9.

We substitute k=4 to k=9 to obtain,



[tex]\sum_{k=4}^9(5k+3) = (5 \times 4 + 3) + (5 \times 5 + 3) + (5 \times 6 + 3) + (5 \times 7 + 3) + (5 \times 8 + 3) + (5 \times 9 + 3)[/tex]


We simplify to obtain,

[tex]\sum_{k=4}^9(5k+3) = (20 + 3) + (25 + 3) + (30 + 3) + (35 + 3) + (40 + 3) + (45+ 3)[/tex]

This implies that,


[tex]\sum_{k=4}^9(5k+3) = 23 + 28 + 33 + 38 + 43+ 48 [/tex]


[tex]\sum_{k=4}^9(5k+3) = 213[/tex]



The correct answer is C.

Otras preguntas