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Write the Arithmetic Progressions Write the First Term a and Common Difference D is as Follows: `A = -1, D = 1/2` - Mathematics

Write the arithmetic progressions write the first term a and common difference d is as follows:

`a = -1, d = 1/2`

 

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Solution

`a = -1, d = 1/2`

Now as a = -1

A.P would be represented by `a,a_1, a_2,a_3,a_4......`

So,

`a_1 = a + d`

`a_1 = -1 + (1/2)`

`a_1 = (-2 + 1)/2`

`a_1 = (-1)/2`

Similarly

`a_2 = a_1 + d`

`a_2= (-1)/2 + (1/2)`

`a_2 = 0`

Also

`a_3 = a_2 + d`

`a_3 = 0 + (1/2)`

`a_3 = 1/2`

Further

`a_4 = a_3  +d`

`a_4 = (1/2) + (1/2)`

`a_4 = 2/2`

`a_4 = 1`

Therefore, A.P with a = 4 and d = -3 is `-1, (-1)/2 , 0 , 1/2, 1,.... `

  Is there an error in this question or solution?
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APPEARS IN

RD Sharma Class 10 Maths
Chapter 5 Arithmetic Progression
Exercise 5.3 | Q 2.2 | Page 11
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