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Dominik [7]
3 years ago
10

1/4, 3/4, 5/4, 7/4, ... 15th term

Mathematics
2 answers:
Crazy boy [7]3 years ago
5 0

Answer:

29/4

Step-by-step explanation:

2/4 is added per step

14 steps from 1/4

1/4 + 14.(2/4) = 29/4

Ostrovityanka [42]3 years ago
5 0

Answer:

<em>29</em><em> </em><em>/</em><em> </em><em>4</em><em> </em><em>is</em><em> </em><em>the</em><em> </em><em>15th</em><em> </em><em>term</em><em> </em>

<em>simplified</em><em> </em><em>:</em><em> </em><em>7</em><em> </em><em>1</em><em>/</em><em>4</em>

Step-by-step explanation:

3/4 - 1/4 = 2/4

5/4 - 3/4 = 2/4

7/4 - 5/4 = 2/4

. Use Arithmetic equation

a1 = 1/4

d= common difference = 2/4

<em>a15</em><em> </em><em>=</em><em> </em><em>a1</em><em> </em><em>+</em><em> </em><em>(</em><em>n-1</em><em>)</em><em> </em><em>d</em>

<em>a15</em><em> </em><em>=</em><em> </em><em>1</em><em>/</em><em>4</em><em> </em><em>+</em><em> </em><em>(</em><em>15</em><em> </em><em>-</em><em> </em><em>1</em><em>)</em><em> </em><em>2</em><em>/</em><em>4</em><em> </em>

<em>a15</em><em> </em><em>=</em><em> </em><em>1</em><em>/</em><em>4</em><em> </em><em>+</em><em> </em><em>14</em><em> </em><em>(</em><em>2</em><em>/</em><em>4</em><em>)</em><em> </em>

<em>a15</em><em> </em><em>=</em><em> </em><em>1</em><em>/</em><em>4</em><em> </em><em>+</em><em> </em><em>7</em>

<em>a15</em><em> </em><em>=</em><em> </em><em>29</em><em>/</em><em>4</em><em> </em><em>or</em><em> </em><em>7</em><em> </em><em>1</em><em>/</em><em>4</em>

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