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In which of the following situations, the sequence formed will form an A.P.? (i) Number of students left in the school auditorium from the total strength of 1000 students when they leave the auditorium in batches of 25. (ii) The amount of money in the account every year when 100 are deposited annually to accumulate at compound interest at 4% per annum

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(i) Yes, (ii) No
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Number of students left in the school auditorium from the total strength of 1000 students when they leave the auditorium in batches of 25. Will the sequence form an AP

Number of students left in the school auditorium from the total strength of 1000 students when they leave the auditorium in batches of 25 form an A.P. Find the common difference.

The amount of money in the account every year,when Rs10000 is deposited at compound interest at 8% per annum.

In which of the following situations , does the list of numbers of involved make an arithmetic progression , and why ? The amount of money in the account every year , when Rs 10,000 is deposited at compound interest at 8 % per annum .

In which of the following situations, do the lists of numbers involved form an A.P. ? Give reasons for your answer. The amount of money in the account of Varun at the end of every year, when Rs 1000 is deposited at simple interest of 10% per annum.

In which of the following situations, do the lists of numbers involved form an A.P. ? Give reasons for your answer. The fee charged from a student every month by a school for the shole session when the monthly fee is Rs 400.

In which of the following situations, does the list of numbers involved make an arithmetic progression, and why? (i) The taxi fare after each km when the fare is Rs 15 for the first km and Rs 8 for each additional km. (ii) The amount of air present in a cylinder when a vacuum pump removes 1/4 of the air remaining in the cylinder at a time. (iii) The cost of digging a well after every metre of digging, when it costs Rs.150 for the first metre and rises by Rs. 50 for each subsequent metre. (iv) The amount of money in the account every year, when 10000 is deposited at compound interest at 8 % per annum.

In which of the following situations, do the lists of numbers involved form an AP? Give reasons for your answers. (i) The fee charged from a student every month by a school for the whole session, when the monthly fee is Rs. 400. (ii) The fee charged every month by a school from classes I to XII, When the monthly fee for class I is Rs. 250 and it increases by Rs. 50 for the next higher class. (iii) The amount of money in the account of Varun at the end of every year when Rs. 1000 is deposited at simple interest of 10% per annum. (iv) The number of bacteria in a certain food item after each second, when they double in every second.

In which of the following situations, do the lists of numbers involved form an A.P. ? Give reasons for your answer. The fee charged every month by a school from Classes I to XII, when the monthly fee for Class I is Rs 250, and it increases by Rs 50 for the next higher class.

Two schools A and B decided to award prizes to their students for three values, team spirit, truthfulness and tolerance at the rate of R sdotx ,R sdoty and R sdotz per student respectively. School A , decided to award a total of Rs. 1,100 for the three values to 3, 1 and 2 students respectively while school B decided to award Rs. 1,400 for the three values to 1, 2 and 3 students respectively. If one prize for all the three values together amount to Rs. 600 then (i) Represent the above situation by a matrix equation after forming linear equations. (ii) Is it possible to solve the system of equations so obtained using matrices ? (iii) Which value you prefer to be rewarded most and why ?

CBSE COMPLEMENTARY MATERIAL-ARITHMETIC PROGRESSION -SHORT ANSWER TYPE QUESTIONS-I
  1. Is 144 a term of the A.P. 3,7,11,…………? Justify your answer.

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  2. What is 20th term from the end of the AP 3, 8, 13, …, 253?

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  3. Which term of the arithmetic progression 5,\ 15 ,\ 25 ,\ dot will b...

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  4. The first term, common difference and last term of an A.P. are 12,6 an...

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  5. Find the sum of the first 15 multiples of 8

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  6. In which of the following situations, the sequence formed will form an...

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  7. Find the sum of even positive integers between 1 and 200.

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  8. If 4m+8, 2m^(2) + 3m + 6, 3m^(2) + 4m+4 are three consecutive terms of...

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  9. How many terms of the A.P. 22,20,18………..should be taken so that their ...

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  10. If 10 times of 10th term is equal to 20 times of 20th term of an A.P. ...

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  11. Find the middle term of the A.P. 6, 13 , 20 , 216.

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  12. Is -150 a term of the A.P. 11 ,\ 8,\ 5,\ 2,\ ?

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  13. Find how many two-digit numbers are divisible by 6.

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  14. If 1/(x+2), 1/(x+3) and 1/(x+5) are in A.P. find x

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  15. Find the middle term of an A.P. -6, -2, 2,……….58.

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  16. In an A.P. find S(n) where a(n) = 5n-1. Hence find the sum of the firs...

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  17. Which term of A.P. 3,7,11,15,….. Is 79? Also find the sum 3+7+11+…..+7...

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  18. Which term of the A.P. 121, 117, 113,….. Is the first negative terms ?

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

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