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 16, 14, 13, ... 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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