Posted by **Edwin** on Wednesday, September 23, 2009 at 3:28pm.

(b) the digits of a positive integer having three digits are in A.P and their sum is 15. The number obtained by reversing the digits is 594 less than the original number. Find the number.

(c) if a,b,c are in A.P, prove that (i) (ab)^-1, 1/ac, 1/bc are also in A.P. (ii) a(b+c)/bc, b(a+c)/ca, c(a+b)/ab are also in A.P.

(d) if a^2, b^2, c^2 are in A.P, prove that (i) 1/(b+c), 1/(c+a), 1/(a+b) are also in A.P. (ii) a/(b+c), b/(c+a), c/(a+b) are also in A.P.

(e) the sum to infinity of a G.P series is R. The sum to infinity of the squares of the terms is 2R. The sum to infinity of the cubes of the terms is (64/13)R. Find (i) the value of R. (ii) the first term of the first original series.

## Answer This Question

## Related Questions

- math - (b) the digits of a positive integer having three digits are in A.P and ...
- Maths - The digits of a three digit number are in AP&their sum is 15.The number ...
- Math Nunbers - The sum of the digits of a positive three digit number Is 19. The...
- math - 1)a number of two digits is such that the digits is 11 and the number is...
- 8th Grade Algebra - These are extra credit questions, and I just want to know ...
- math - the sum of the digits in a three-digit number is 16.the ones digit is ...
- Math - Twice the sum of the digits of a positive, two-digit integer is 19 ...
- algebra - The sum of the digits of a two-digit number is eleven. If the digits ...
- math - While adding ten two-digit numbers the digits of one of the numbers were ...
- Math - The sum of the digits of a two-digit number is 14. The number formed by ...

More Related Questions