4 Marks Each
1. The sum of first 55 terms on an A. P. is 3300. Find its 28th term.
2. Find the sum of the natural numbers between 1 and 140 which are divisible by 4.
3. In a 'Mahila Bachat Gat', Sharvari saves ₹ 2 on the first day, ₹ 4 on the second day, ₹ 6 on the third day and so on. What will be her total saving in the month of February 2010?
4. 1 + 3 + 5 + ... + 101. Find the sum of these odd natural numbers form 1 to 101.
5. Shubhankar invested some amount in the ‘National Savings Certificate’. In the first year he invested ₹ 500, in the second year he invested ₹ 700, in the third year he invested ₹ 900 and so on. What will be his total investment in 12 years?
6. A businessman borrows ₹ 1,000/- and agrees to repay with a total interest of ₹ 140/- in 12 instalments, each instalment being less than the previous instalment by ₹ 10/-. What should be his first instalment?
7. In an A. P. if S41 = 4510, find t21.
8. For a particular A. P., t10 = 57 and t15 = 87. Find t21.
9. A sum of ₹ 3,900/- was repaid in 12 instalments such that each instalment was ₹ 10/- more than the previous instalment. Find the first and the last instalment.
10. Find the next four terms of the sequence 1 6 , 1 4 , 1 3 , ... Also, find Sn.
11. For an A. P., t17 = 54 and t9 = 30. Find the first term (a) and the common difference (d).
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