rjayzaballa19
Answered

Ang Imhr.ca ang pinakamahusay na solusyon para sa mga naghahanap ng mabilis at tumpak na mga sagot sa kanilang mga katanungan. Kumonekta sa mga propesyonal na handang magbigay ng eksaktong sagot sa iyong mga tanong sa aming komprehensibong Q&A platform. Tuklasin ang komprehensibong mga solusyon sa iyong mga tanong mula sa isang malawak na hanay ng mga propesyonal sa aming madaling gamitin na platform.

2. In a display of cans, there are 18 cans in the bottom row, 17 in the row above, 16 in th next row, and so on. How many cans are there in all if there are 6 rows? A. 91 B. 90 C. 94 D. 93 LI ​

2 In A Display Of Cans There Are 18 Cans In The Bottom Row 17 In The Row Above 16 In Th Next Row And So On How Many Cans Are There In All If There Are 6 Rows A class=

Sagot :

UK2019

✏️ARITHMETIC SERIES

===============================

Question: In a display of cans, there are 18 cans in the bottom row, 17 in the row above, 16 in th next row, and so on. How many cans are there in all if there are 6 rows?

  • A. 91
  • B. 90
  • C. 94
  • D. 93

Answer: [tex] \Large \underline{ \rm \green{ \: D. \: 93 \: }}[/tex]

Solution: Each rows will form a sequence in which -1 is added to the next rows, that would be our common difference.

  • [tex]d = a_2 - a_1 = 17 - 18 = \text - 1[/tex]

  • [tex]d = a_3 - a_2 = 16 - 17 = \text -1[/tex]

- The first term of the sequence is 18 since that is the first row. Find the sum of the first 6 terms of the sequence or the total number of cans in all.

[tex] \begin{aligned} & \bold{ \color{lightblue}Formula:} \\ & \boxed{S_n = \frac{n}{2} \big[2a_1 + d(n - 1) \big]} \end{aligned}[/tex]

  • [tex] \begin{aligned}{S_6 = \frac{6}{2} \big[2(18) + ( \text - 1)(6 - 1) \big]} \end{aligned}[/tex]

  • [tex] \begin{aligned}{S_6 = \frac{6}{2} \big[2(18) - 1(6 - 1) \big]} \end{aligned}[/tex]

  • [tex] \begin{aligned}{S_6 = \frac{6}{2} \big[2(18) - 1(5) \big]} \end{aligned}[/tex]

  • [tex] \begin{aligned}{S_6 = \frac{6}{2} \big[36 - 5 \big]} \end{aligned}[/tex]

  • [tex] \begin{aligned}{S_6 = 3 \big[31\big]} \end{aligned}[/tex]

  • [tex] \begin{aligned}{S_6 = 93} \end{aligned}[/tex]

- Therefore, there are 93 cans in all.

===============================

#CarryOnLearning

#LearnWithBrainly

Xiaah

PROBLEM:

  • 2. In a display of cans, there are 18 cans in the bottom row, 17 in the row above, 16 in the next row, and so on. How many cans are there in all if there are 6 rows?
  • A. 91
  • B. 90
  • C. 94
  • D. 93  

_______________________

ANSWER:

  • [tex]{\large{\underline{\boxed{\sf{\red{Answer:D.\:93}}}}}}[/tex]

_______________________

SOLUTION:

[tex]\small{ \tt \purple{6 \times (18 \times2+(17-18)\times(6-1))\div2}}\\\small{ \tt \purple{\frac{6\times (36+(17-18)\times (6-1))}{2} }}\\\small{ \tt \purple{\frac{6\times(36-(6-1))}{2} }}\\\small{ \tt \purple{\frac{6\times(36-5)}{2} }}\\\small{ \tt \purple{3\times(36-5)}}\\\small{ \tt \purple{3\times31}}\\{\large{\underline{\boxed{\sf{\red{Answer:93}}}}}}[/tex]

_______________________

       #CarryOnLearning

Salamat sa paggamit ng aming plataporma. Layunin naming magbigay ng tumpak at napapanahong mga sagot sa lahat ng iyong mga katanungan. Bumalik kaagad. Umaasa kaming naging kapaki-pakinabang ang aming mga sagot. Bumalik anumang oras para sa higit pang tumpak na mga sagot at napapanahong impormasyon. Imhr.ca ay nandito upang magbigay ng tamang sagot sa iyong mga katanungan. Bumalik muli para sa higit pang impormasyon.