1. The first term and common difference of an A. P. are 8 and 5 respectively; find the sum of first 30 terms.
2. Find the sum of first 123 odd natural numbers.
3. Find the sum of all odd numbers between 2 and 350.
4. The 9th and the 21st terms of the A. P. are 75 and 183 respectively. Find the sum of first 29 terms of that A. P.
5. Find the sum of all natural numbers between 100 and 200 which are divisible by 13.
6. The sum of first 31 terms in an A.P. is 3007, find the 16th term of that A. P.
7. Find three consecutive terms in an A. P. whose sum is − 3 and the product of their cubes is 512.
8. Find four consecutive terms in an A. P. whose sum is − 54 and the sum of 1st and 3rd term is − 30.
9. In winter, the temperature at a hill station from Monday to Friday is in A. P. The sum of the temperatures of Monday, Tuesday and Wednesday is zero and the sum of the temperatures of Thursday and Friday is 15. Find the temperature of each of the five days.
Answer: Monday: − 3,Tuesday: 0,Wednesday: 3,Thursday: 6,Friday: 94 Marks
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