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For the AP : 3/2,1/2,-1/2,-3/2,dotdotdot...

For the AP : `3/2,1/2,-1/2,-3/2,dotdotdot,`write the first term a and the common difference d.

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To solve the problem, we need to identify the first term \( a \) and the common difference \( d \) of the given arithmetic progression (AP): \[ \frac{3}{2}, \frac{1}{2}, -\frac{1}{2}, -\frac{3}{2}, \ldots \] ### Step-by-Step Solution: **Step 1: Identify the first term \( a \)** The first term of the arithmetic progression is the first number in the sequence. ...
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1,4,7,10,is an A.P. whose first term is 1 and the common difference is equal to 4-1=3.

Write first four terms of the A.P., when the first term 'a' and the common difference 'd' are given as follows : (i) a=5, d=3 (ii) a=-2, d=4 (iii) a=2, d=(-3)/(2) (iv) a=-3, d=1

Write first four terms of the AP, when the first term a and the common difference d are given as follows:(i) a = 10, d= 10 (ii) a = –2, d = 0 (iii) a = 4, d = – 3 (iv) a = – 1, d = 1/2 (v) a = – 1.25, d = – 0.25

Write first four terms of the A.P., when the first term a and the common difference 'd' are given as follows : (i) a = 10, d =10 " " (ii) a=-1, d=(1)/(2) (iii) a =4, d=-3 " " (iv) a = -2, d=0

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NCERT ENGLISH-ARITHMETIC PROGRESSIONS-All Questions
  1. Which of the following list of numbers does form an AP? If they form ...

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  2. Find the 10^(t h)term of the AP : 2, 7, 12, . . .

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  3. For the AP : 3/2,1/2,-1/2,-3/2,dotdotdot,write the first term a and th...

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  4. Check whether 301 is a term of the list of numbers 5, 11, 17, 23, . . ...

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  5. How many two–digit numbers are divisible by 3?

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  6. Which term of the AP : 21, 18, 15,... is - 81? Also, is any term 0? Gi...

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  7. Determine the AP whose 3^(r d)term is 5 and the 7^(t h)term is 9.

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  8. How many three–digit numbers are divisible by 7?

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  9. Two APs have the same common difference. The difference between their...

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  10. Which term of the AP: 3, 15, 27, 39, . . . will be 132 more than its 5...

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  11. The 17^(th) term of an AP exceeds its 10^(th) term by 7. Find the comm...

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  12. Find the 20^(t h)term from the last term of the AP : 3, 8, 13, . . , ...

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  13. Determine the AP whose third term is 16 and the 7^(t h)term exceeds th...

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  14. For what value of n, are the nth terms of two APs: 63, 65, 67, . . . ...

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  15. How many multiples of 4 lie between 10 and 250?

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  16. In a potato race, a bucket is placed at the starting point, which is ...

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  17. Subba Rao started work in 1995 at an annual salary of Rs 5000 and rec...

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  18. The sum of the 4th and 8th terms of an AP is 24 and the sum of the 6t...

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  19. If the sum of first 7 terms of an AP is 49 and that of 17 terms is 28...

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  20. Find the sum of first 51 terms of an AP whose second and third terms ...

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