Find a, b and c if it is given that the numbers a,7,b,23,c are in A.P

Three numbers a,b and c are in the A.P if

Find a, b and c such that the following numbers are in AP, a, 7, b, 23 and c.

Find a, b and c such that the following numbers are in AP, a, 7, b, 23 and c.

If a , b , c , are three unequal number such that a , b ,c are in A.P and (b-a),(c-b) , a are in G.P then find a: b: c .

If a, b, c are distinct real numbers such that a, b, c are in A.P. and a^2, b^2, c^2 are in H. P , then

a,b and c are in A.P. Prove that b+c , c+a and a+b are in A.P.

If a, b, c are in A.P., prove that : b+c,c+a,a+ b are also in A.P.

Find the numbers a,b,c between 2 and 18 such that (i) their sum is 25 (ii)the numbers 2,a,b are consecutive terms of an A.P and (iii) the numbers b,c 18 are respectively terms of a G.P