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9966 [12]
3 years ago
11

What is the value expression 8+24 divided by (2 times 6) - 4

Mathematics
1 answer:
Sphinxa [80]3 years ago
6 0

Answer:

6

Step-by-step explanation:

Given mixed operations there is a particular order that must be followed.

Using the order set out in the acronym PEMDAS

P - Parenthesis ( brackets ), E- Exponents ( powers ), M - Multiplication, D - Division, A- Addition, S - Subtraction

8 + 24 ÷ (2 × 6) - 4

= 8 + 24 ÷ 12 - 4 ← parenthesis

= 8 + 2 - 4 ← division

= 10 - 4 ← addition

= 6 ← subtraction

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<h3>Answer:  17</h3>

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

Work Shown:

a1 = 3 = first term

d = 2 = common difference (since we add 2 to each term to get the next one)

Let's compute the nth term.

an = a1 + (n-1)*d

an = 3 + (n-1)*2

an = 3 + 2n-2

an = 2n+1

-----------------------

To check things so far, we can plug in something like n = 2

an = 2n+1

a2 = 2*2+1

a2 = 5

Showing that the 2nd term is 5, which matches with the sequence given to us

Let's check n = 3

an = 2n+1

a3 = 2*3+1

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That matches as well. I'll let you check the others.

-----------------------

Plug in n = 8 to find the 8th term

an = 2n+1

a8 = 2*8+1

a8 = 17

The eighth term is 17, which is the final answer.

-----------------------

You could extend out the given sequence by adding 2 each time until you reach the 8th term

3,5,7,9,11,13,15,17

Though this method is slow if you need to find say the 38th term

8 0
2 years ago
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CaHeK987 [17]

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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