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Which of the following list of numbers does form an AP? If they form an AP. write the next two terms :(i) 4, 10, 16. 22, . . .(ii) 1,-1, -3,-5, . . .(iii) -2,2,-2,2, . . .(iv)1,1,1,2,2,2,3,3,3, . . .

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To determine whether the given sequences form an Arithmetic Progression (AP), we need to check if the difference between consecutive terms is constant. Let's analyze each sequence step by step. ### (i) Sequence: 4, 10, 16, 22, ... 1. **Calculate the differences:** - 10 - 4 = 6 - 16 - 10 = 6 - 22 - 16 = 6 ...
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Which of the following are AP's ? If they form an AP, find the common difference d and write three more terms. (i) 2, 4, 8, 16, . . . (ii) 2,5/2,3,7/2,. . . (iii) -1.2 ,- 3.2 ,- 5.2 ,- 7.2 ,... (iv) -10 ,-6,-2,2.... (v) 3,3+sqrt2,3+2sqrt2,3+3sqrt2,..." " (vi) 0.2,0.22,0.222,0.2222,..." " (vii) 0,-4,-8,-12,..." " (viii) -(1)/(2),-(1)/(2),-(1)/(2),-(1)/(2),..." " (ix) 1,3,9,27,..." " (x) a,2a,3a,4a,..." " (xi) a,a^(2),a^(3),a^(4),..." " (xii) sqrt2,sqrt8,sqrt18,sqrt32,..." " (xiii) sqrt3,sqrt6,sqrt9,sqrt12,..." " (xiv) 1^(2),3^(2),5^(2),7^(2),..." " (xv) 1^(2),5^(2),7^(2),73,...

Which of the following are A.P's ? If they form an A.P., find the common difference 'd' and write two more terms : (i) 2, 4, 8, 16, ... (ii) 2, (5)/(2), 3, (7)/(2), ... (iii) -1.2, -3.2, -5.2, -7.2, .... (iv) -(1)/(2),-(1)/(2),-(1)/(2),-(1)/(2),...

Which of the following are A.P.'s ? If they form an A.P., find the common difference 'd' and write three more terms : (i) -10, -6, -2, 2, ..... " " (ii) 3, 3+sqrt(2), 3+2sqrt(2), 3+3sqrt(2), ... (iii) 0, -4, -8, -12, .... " " (iv) a, 2a, 3a, 4a, ..... (v) sqrt(3), sqrt(6), sqrt(9), sqrt(12), .....

Find the common difference of the A.P. and write the next two terms: 0,1/4,1/2,3/4,\ (ii) 119 ,\ 136 ,\ 153 ,\ 170 ,\

For the following A.P.'s , write the first term and common difference : (i) 2, 5, 8, 11, .... (ii) -5, -1, 3, 7, ..... (iii) 0.6, 1.7, 2.8, 3.9, ...... (iv) 5, 2, -1, -4, .....

Which of the following form of an AP ? Justify Your answer. (i) -1,-1,-1,-1, … (ii) 0, 2, 0, 2, … (iii) 1, 1, 2, 2, 3, 3, … (iv) 11, 22, 33, … (v) 2, 2^(2), 2^(3), 2^(4)

For the following AP's, write the first term and the common difference: (i) 3,1,-1,-3,... (ii) -5,-1,3,7,... (iii) 1/3,5/3,9/3,11/3...... (iv) 0.6,1.7,2.8,3.9,...

Verify that each of the following is an AP and then write its next three terms. (i) 0, (1)/(4),(1)/(2),(3)/(4), … " " (ii) 5,(14)/(3),(13)/(3),4, … (iii) sqrt(3),2sqrt(3),3sqrt(3), … " " (iv) a+b,(a+1)+b,(a+1)+(b+1), ... (v) a,2a+1,3a+2,4a+3, …

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NCERT ENGLISH-ARITHMETIC PROGRESSIONS-All Questions
  1. A sum of Rs 1000 is invested at 8% simple interest per year. Calculat...

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  2. Check whether 150 is a term of the AP : 11, 8, 5, 2...

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  3. Which of the following list of numbers does form an AP? If they form ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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