Come on do it and help me friends . each question u get 5 points . be cautious if you give wrong answer i will take away all your marks and report the answer as inappropriate 1. In an A.P 1,7, 13,19,…………..,415. Prove that the sum of the middle terms is equal to the sum of first and last terms
2. If the 8th term of an A.P is 31 and the 15th term is 16 more than the 11th term, find the A.P.
3. Which term of the A.P 5,15,25, ……….. will be 130 more than its 31st term.
4. If the 10th term of an A.P is 52 and its 17th term is 20 more than its 31st term. Find the A.P.
5. Is 184 a term of the A.P 3,7,11,……..
6. The sum of 5th and 9th terms of an A.P is 72 and the sum of 7th and 12th terms is 97. Find the A.P
7. If 5 times the fifth term of an A.P is equal to 8 times its eighth term, show that its 13th term is zero.
8. How many numbers of two digits are divisible by 7
9. Find the number of integers between 50 and 500 which are divisible by 7
10. If the mth term of an A.P be 1/n and nth term be 1/m , then show that its (mn)th term is 1.
11. If the pth term of an A.P is q and the qth term is p, prove that its nth term is (p+q-n).
12. If m times the mth term of an A.P is equal to n times its nth term, Show that the (m+n)th term of the A.P is zero
13. If pth , qth, rth terms of an A.P are a, b, c respectively,then show that a(q-r)+b(r-p)+c(p-q)=0
14. Which term of the sequence 20,19 1/4,181/2,173/4,…………… is the first negative term.
15. Find a, b and c if it is given that the numbers a,7,b,23,c are in A.P
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