MIME-Version: 1.0 Content-Type: multipart/related; boundary="----=_NextPart_01C8B125.17218C40" This document is a Single File Web Page, also known as a Web Archive file. If you are seeing this message, your browser or editor doesn't support Web Archive files. Please download a browser that supports Web Archive, such as Microsoft Internet Explorer. ------=_NextPart_01C8B125.17218C40 Content-Location: file:///C:/0C233650/Arithmetic_cl10.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" MATHEMATICS CLASS X

           

           &n= bsp;            = ;            &n= bsp;            

        =             &nb= sp;            

        =            =       = ;            &n= bsp;                  ARITHMETIC PROGRESSION<= /b>

 

1.         = Write the 5th and 8th terms of an AP whose 10th = term is 43 and common difference is 4

 

2.         = Which terms of the series 5,8,11, ----- is 320?

 

3.         = Find the value of k so that 8k+4, 6k-2, 2k+7 will from an AP

 

4.         = Find the sum 101+99+97+ ----- +47

 

5.         = The sum of a series of terms in AP is 128 .If the first term is 2 and the last terms is 14.Find the common difference

 

6.         = Find the number of terms of the series 21,18,15,12, ----- which must taken to gi= ve a sum of zero.

 

7.         = The sum of n terms of a series is (n2+2n) for all values of n. Find = the first 3 terms of the series

 

8.         = The interior angles of a polygon are in A.P. The smallest angle is 52o and the common difference is 8o. Find the number of sides of the polygon .

 

9.        A sum of Rs.6240 is paid off in 30 installments, such that each installments = is Rs.10 more than the preceeding installments.Calculate the first installment= .

 

10.       A sco= oter is bought for Rs.15000, if it depreciates at the rate of Rs.900 per year wh= at is  its value at the end of 9<= sup>th year?

 

11.       The a= ges of the students of a class are in A.P. whose common difference is 4 months. If= the youngest  boy is 8 years old a= nd the sum of ages of students of the class is 168 years. Find the number  of students in the class

 

12.       Find = a and d for an AP if S=3D5580, t =3D36

 

13.       Find = the sum of all natural numbers that lie between 250 and 1000 exactly divisible = by 3

 

14.       The n= inth term of an AP is zero, show that 29th is double the 19th term

 

15.       Show = that a-b, a and a+b form consecutive  terms of an AP

 

16.       Show = that the following sequence is arithmetic. Find the first term and common differ= ence where  =3D 3n+5

 

17.       Find = the first 4 terms of the sequence

 

18.       Which= term of the AP 64,60,56, 52, ----- is zero

 

19.      =         Find 10th term  from end of the A.P  4, 9, 14, …..254       

 

20.      Find the n= umber of terms of the A.P   54,= 51, 48 ….. so that their sum is 513.

 

      21.      If the nth= term of an A.P is (2n+1) , find the sum of first n terms of the A.P.

 

      22.      Find the 6= th term from end of the A.P 17 ,14,11,  ……-40   (C.B.S.E  2005)

 

23.&= nbsp;    Find the number of term= s of A.P 64, 60 ,56 ….. so that their sum is 544.

 

24.&= nbsp;    Find the number of term= s of A.P 63, 60 ,57 ….. so that their sum is 693

 

25.  The 6= th term of an A.P is -10 and the 10th term is -26. determine the 15= th term of the A.P.        =             &nb= sp;            =             &nb= sp;             =             &nb= sp;            =       (CBSE 2006)

           &nb= sp;     

26.  Find = the sum of all 3 digit numbers less than 200 which are divisible by 5.

 

        =             &nb= sp;            =             &nb= sp;            =             &nb= sp;            =               (CBSE 2006)

  27.The = nth term of an AP is 7 -4n , Find its common difference.  ( CBSE 2008)

 

28.  The s= um of n terms of an A.P. is 3n2+5n . Find the A.P. Hence find its 16th term( CBSE 2008)

&n= bsp;

 

&n= bsp;

Answers

 

1.         = 23, 35       = ;       2.         = 106        &= nbsp;         3.         =            =        4.         = 2072  

5.         =            =          6.         = 15  &n= bsp;            = ;     7.         = 3, 5, 7              8.         = 3 or 30

 

9.         = Rs. 63              10.<= span style=3D'mso-tab-count:1'>       Rs.69= 00           11.       16                =     12.       a=3D0= ;     d=3D12  

 

13.       15, 6= 3, 75        14.       2, 4,= 8, 14        15.       17+n =

19.  209        20. n=3D 18, 19     &n= bsp;            21.  n(n+2)            = ;       22. -25    23  n=3D16,17

24. n =3D 21,22

 

 

 

 

 

( 1 mark questions)

  1. The 7th term of an AP is -4 and its 13th term is -16. Find the AP.<= /li>
  2. Show that (a-b), (a) and (a +b) are three consecutive terms of an AP.
  3. For what value of (k) will 2k-1, 7 and 3k form an AP.
  4. Is the progression 3, 11/4, 5/2, 9/4… an AP.
  5. Write the next 3 terms of the following: (i) 3, 5/2, 2, 3/2…..

        =             &nb= sp;            =             &nb= sp;            =       (ii) a +d, a-d, a-3d……

  1. Find the first 3 terms of the AP whose first term is 5 and common difference is        4/5.
  2. Find the AP whose nth term is n-3
  3. Which term of the AP 58, 56, 54…. is 22.
  4. Find the sum: 3 + 11 + 19 +……. +803.
  5. The sum of the first 30 terms of an AP is 1635. If the last term is 98 and= the first term is 11 find the common difference.
  6. Determine the 4th term of the A.P. whose 6th and 8th<= /sup> terms are 17 and 23 respectively. = ;            &n= bsp;           
  7. Find the 20th term from the last term of the A.P.: 5, 10, 15 ….300.    &n= bsp;            = ;            &n= bsp; 
  8. Mr. X started work in 1990 at an annual salary of Rs.10,000. If he received = an annual increment of Rs.500/ year, in which year did his income reach R= s.25,000?    
  9. Neha donated some money to an NGO each year. If she donated Rs.1,000 in the first year, and kept increasing the amount by Rs.200/ year, how much d= id she donate in the 35th year?            &n= bsp;            = ;    
  10. Find the sum of the first 16 multiples of 8.

 

 

 

 

 

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