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Write first four terms of the A. P., whe...

Write first four terms of the A. P., when the first term a and the common difference d are given as follows :
`a = - 1.25 , d = - 0.25`

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To find the first four terms of the Arithmetic Progression (A.P.) given the first term \( a \) and the common difference \( d \), we can follow these steps: ### Step-by-Step Solution: 1. **Identify the first term and common difference**: - Given \( a = -1.25 \) (first term) - Given \( d = -0.25 \) (common difference) 2. **Use the formula for the \( n \)-th term of an A.P.**: The \( n \)-th term of an A.P. can be calculated using the formula: \[ a_n = a + (n - 1) \cdot d \] 3. **Calculate the first term \( a_1 \)**: - For \( n = 1 \): \[ a_1 = a + (1 - 1) \cdot d = -1.25 + 0 = -1.25 \] 4. **Calculate the second term \( a_2 \)**: - For \( n = 2 \): \[ a_2 = a + (2 - 1) \cdot d = -1.25 + (-0.25) = -1.25 - 0.25 = -1.50 \] 5. **Calculate the third term \( a_3 \)**: - For \( n = 3 \): \[ a_3 = a + (3 - 1) \cdot d = -1.25 + 2 \cdot (-0.25) = -1.25 - 0.50 = -1.75 \] 6. **Calculate the fourth term \( a_4 \)**: - For \( n = 4 \): \[ a_4 = a + (4 - 1) \cdot d = -1.25 + 3 \cdot (-0.25) = -1.25 - 0.75 = -2.00 \] 7. **List the first four terms**: - The first four terms of the A.P. are: \[ a_1 = -1.25, \quad a_2 = -1.50, \quad a_3 = -1.75, \quad a_4 = -2.00 \] ### Final Answer: The first four terms of the A.P. are: -1.25, -1.50, -1.75, -2.00
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OSWAL PUBLICATION-ARITHMETIC PROGRESSIONS -NCERT CORNER (EXERCISE-5.1)
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  2. Write first four terms of the A. P., when the first term a and the com...

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  3. Write first four terms of the A. P., when the first term a and the com...

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  8. Which of the following are AP's ? If they form an A. P. , find the com...

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  12. Which of the following are AP's ? If they form an A. P. , find the com...

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  13. Which of the following are AP's ? If they form an A. P. , find the com...

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  14. Which of the following are AP's ? If they form an A. P. , find the com...

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  15. Which of the following are AP's ? If they form an A. P. , find the com...

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  16. Which of the following are AP's ? If they form an A. P. , find the com...

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  17. Which of the following are AP's ? If they form an A. P. , find the com...

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  18. Which of the following are AP's ? If they form an A. P. , find the com...

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  19. Which of the following are AP's ? If they form an A. P. , find the com...

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  20. Which of the following are AP's ? If they form an A. P. , find the com...

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