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Write the arithmetic progressions when first term a and common difference d is as follows: a = –1.5, d = –0.5

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Question

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

a = –1.5, d = –0.5

Sum
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Solution

a = -1.5, d = -0.5

Now as a = -1.5

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

So,

`a_1 = a+ d`

`a_1= -1.5 + (-0.5)`

`a_1 = -2`

Similarly

`a_2 = a_1 + d`

`a_2 = -2 + (-0.5)`

`a_2 = -2.5`

Also,

`a_3 = a _2 + d`

`a_3 = -2.5 + (-0.5)`

`a_3 = -3`

Further

`a_4 = a_3 + d`

`a_4 = -3 + (-0.5)`

`a_4 = -3.5`

Therefore A.P with a = 4 and d = -3 is -1.5, -2, -2.5, -3, -3.5.... 

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Chapter 5: Arithmetic Progressions - EXERCISE 5.3 [Page 5.9]

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R.D. Sharma Mathematics [English] Class 10
Chapter 5 Arithmetic Progressions
EXERCISE 5.3 | Q 2. (iii) | Page 5.9
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