Maths X A

DATE OF SUBMISSION  –  07 / 01 / 2011

Mrs,PRASANNA KUMARI . K . P, TGT(Maths)

1. Find the 25^th term of the A.P: 9, 6,  3 , 0 , …
2. Which term of the A. P  :  7 , 3 , -1 , -5 , …  is  -389 ?
3. How many terms are there in the A. P :  18 , 15.5 , 13 , …  , -47 ?
4. The 6th term of an A. P is 23 and 8^th term is 33.Find its 3^rd term and the general term ( i.e.  n^th term )
5. How many 3 – digit numbers are divisible by 11 ?
6. Find the 26^th term from the end of  the A . P : 6 , 9 , 12 , … ,120 .
7. In an A .P five times the 5^th term is equal to ten times the 10^th term. Find its 15^th term.
8. In an A .P the 24^th term is twice  the 10^th term . Show that  its 72^nd  term is twice the 34^th term.
9. If  a , b , c  are in A . P , show that  ak , bk , ck are also in A . P .
10. Find the sum of all natural numbers between 100 and 250, which are divisible by 6 .
11. The sum of three numbers in A . P  is 21 and the sum of their squares is 155. Find the numbers .
12. The sum of 1^st n terms  of an A . P is given by  n² + 5n . Find its 1^st four terms and also its 10^th term .
13. If   a ,7 , b , 23 , c are in A . P . Find  a , b  & c .
14. Which term of the sequence  : 114 , 109 , 104 , … is the first negative term ?
15. A sum of Rs. 6240 is paid off in 30 installments, such that each installment is Rs. 10 more than the preceding installment. Find the value of the 1^st and the 25^th installments.