Question

if a,1,c are in ap and a,2,c are in gp then a,4,c will be in​

Answer 1

Answer:

Let consider three terms a,b,c. Now the conditions for different progressions are :

( i ) A.P : 2b=a+c

( ii ) G.P: b²=ac

( iii ) H.P: 2/b=1/a + 1/c