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solmaris [256]
3 years ago
5

Find the 12th term of the arithmetic sequence whose common difference is d=6 and whose first term is a, = 2.

Mathematics
1 answer:
victus00 [196]3 years ago
4 0

Answer:

<h3>The 12th term is 68</h3>

Step-by-step explanation:

Since the sequence is an arithmetic sequence

For an nth term in an arithmetic sequence

A(n) = a + ( n - 1)d

where a is the first term

n is the number of terms

d is the common difference

From the question

d = 6

a = 2

n = 12

So the 12th term of the sequence is

A(12) = 2 + (12-1)6

= 2 + 11(6)

= 2 + 66

<h3>A(12) = 68</h3>

Hope this helps you

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Morty buys and sells computer parts
mart [117]

Answer:

  • <em>1. Morty's total cost for the items he purchased was </em><u><em>$210</em></u>
  • <em>2. Morty's revenue from the sale of the items was </em><u><em>$547</em></u>
  • <em>3. Morty's Total profit was </em><u><em>$337</em></u>

<em />

Explanation:

The complete question is:

<em>Morty buys and sells computer parts. He bought two monitors for $25 each and later sold them for $88 each. He bought four cases for $15 each and later sold them for $24 each. He bought five memory modules for $20 each and later sold them for $55 each.</em>

<em />

  • <em>Morty's total cost for the items he purchased was</em>
  • <em>Morty's revenue from the sale of the items was</em>
  • <em>Morty's Total profit was </em>

<em />

<h2><em>Solution</em></h2>

<em />

<u><em>1. Morty's total cost for the items he purchased was</em></u>

<em />

Build a table with the number of parts and their costs:

Component         Amout    Unit cost  Total cost

                                               $                 $

Monitors                2             25                50

Cases                     4             15                 60

Memory                  5             20               100

Total cost = $50 + $60 + $100 = $210

<u><em>2. Morty's revenue from the sale of the items was</em></u>

<em />

Build a table with the number of parts and their selling prices:

Component         Amout    Unit price  Total cost

                                               $                 $

Monitors                2              88               176

Cases                     4              24                96

Memory                  5             55              275

Total revenue: $176 + $96 + $275 = $547

<u><em>3. Morty's Total profit was </em></u>

<em />

The total profit is the total revenue less the total cost: $547 - $210 = $337.

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