Wednesday

October 22, 2014

October 22, 2014

Posted by **Edwin** on Wednesday, September 23, 2009 at 3:27pm.

(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.

- math -
**MathMate**, Wednesday, September 23, 2009 at 6:10pm(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.

If the three digits are in A.P. (arithmetic progression) and the sum is 15, the middle digit must be 5.

The only choices are 951, 852, 753, 654. Note: the original number is greater than the number with digits reversed.

Check which one fits the bill.

Give a try for the remaining problems and we'll be glad to provide help.

- math -
**Reiny**, Wednesday, September 23, 2009 at 6:11pm1.

first equation a + a+d + a+2d = 15 or a+d=5

second equation

(100a + 10(a+d) + a+2d - (100(a+2d) + 10(a+d) + a = 594

solve ,

I got d=-3 and a=8 , which works

**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 - 1)a number of two digits is such that the digits is 11 and the number is...

Math help please - Show that one and only one out of n,n+4,n+8,n+12,n+16 is ...

Maths - I am a two-digit number greater than 50. The product of my digits is not...

math - x has 3 digits. the tens digits is half the hundreds digits. the number ...

math - Can u please help me with this..this is my sons 6th grade work and im ...

math - Posted by nicole on Monday, September 22, 2008 at 4:32pm in response to ...

math - Posted by nicole on Monday, September 22, 2008 at 4:32pm in response to ...

maths - The product of the digits of a positive two-digit number exceeds the sum...