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For the following A.P.'s write the first...

For the following A.P.'s write the first term and the common difference:
`-5,-1,3,7……`

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To solve the problem, we need to identify the first term and the common difference of the given arithmetic progression (A.P.): `-5, -1, 3, 7...`. ### Step-by-Step Solution: 1. **Identify the First Term (A1)**: - The first term of the A.P. is the first number in the sequence. - Here, the first term \( A_1 = -5 \). 2. **Identify the Common Difference (D)**: - The common difference \( D \) can be calculated by subtracting the first term from the second term, or any subsequent term from its preceding term. - We can calculate \( D \) using the formula: \[ D = A_2 - A_1 \] - Where \( A_2 \) is the second term and \( A_1 \) is the first term. - From the sequence, \( A_2 = -1 \) and \( A_1 = -5 \). - Thus, we calculate: \[ D = -1 - (-5) = -1 + 5 = 4 \] 3. **Conclusion**: - The first term \( A_1 \) is \( -5 \). - The common difference \( D \) is \( 4 \). ### Final Answer: - First Term: \( -5 \) - Common Difference: \( 4 \)
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OSWAL PUBLICATION-ARITHMETIC PROGRESSIONS -NCERT CORNER (EXERCISE-5.1)
  1. Write first four terms of the A. P., when the first term a and the com...

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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. For the following A.P.'s write the first term and the common differenc...

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  5. For the following A.P.'s write the first term and the common differenc...

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

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

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  11. 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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