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o-na [289]
3 years ago
9

Please help me eeeeeeeeeeeeeeeeeeeeeeeeeeee

Mathematics
1 answer:
erastovalidia [21]3 years ago
8 0

May pagpipilian? hahaha

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The 16th term of an AP is three times the 5th term.If the 12th term is 20 more the 7th term.Find the first term and the common d
Vlad1618 [11]
<h3><u>Answer:</u></h3>

  • First term = 6
  • Common difference= 4

<h3><u>Solution</u><u>:</u></h3>

Let's take the first term as <u>a</u> and the common difference be <u>d</u>

The formula to find the nth term of an arithmetic progression is given by :

  • an = a + ( n - 1 ) d

<u>According to question, we have :</u>

  • 16th term of an AP is three times the 5th term.

➝ a16 = 3 ( a5 )

➝ a + ( 16 - 1 )d = 3 ( a + ( 5 - 1 )d )

➝ a + 15d = 3 ( a + 4d )

➝ a + 15d = 3a + 12d

➝ 15d - 12d = 3a - a

➝ 3d = 2a

➝ 2a = 3d

➝ <u>a = 3d/2</u><u>‎</u>ㅤ‎ㅤ‎ㅤ⸻ ( 1 )

  • And, the 12th term is 20 more the 7th term.

➝ a12 - ( a7 ) = 20

➝ a + ( n - 1 )d -( a + ( n - 1 )d ) = 20

➝ a + ( 12 - 1 )d - + a + ( 7 - 1 )d ) = 20

➝ a + 11d - ( a + 6d ) = 20

➝ a - a + 11d - 6d = 20

➝ 5d = 20

➝ d = 20/ 5

➝<u> d = 4</u>

  • <u>Using</u><u> equation</u><u> (</u><u> </u><u>1</u><u> </u><u>)</u>

➝ a = 3d / 2

➝ a = ( 3 × 4 ) / 2

➝ a = 12 / 2

➝<u> a = 6</u>

3 0
1 year ago
Work out 4/7 + 2 1/3
motikmotik

It's 61/21. That's the answer.

6 0
3 years ago
Brainliest!!
kogti [31]

Answer:

You would have 750 whole cakes

OR 1500 half cakes

Step-by-step explanation:

Have a great day! :)

8 0
3 years ago
Read 2 more answers
How do you do solve for this again? Picture above
Goshia [24]

Answer:

Step-by-step explanation:

Do you remember the formula so that you can solve this problem??

4 0
3 years ago
Read 2 more answers
Are these answers correct?
Alex
I would say the coordinates are 0,0 for both but if that counts as DNE, they yes it is correct
3 0
3 years ago
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