Question

If a,b,c are in AP;b,c,d are in GP and c,d,e are in HP then a,c,e are in

Very uregent plz answer me​

Answer 1

Step-by-step explanation:

We have been given that

We have been given thata b c are in ap . Thus, we have

We have been given thata b c are in ap . Thus, we haveb c d are in gp. Thus, we have

We have been given thata b c are in ap . Thus, we haveb c d are in gp. Thus, we havec d e are in hp. Thus, we have

We have been given thata b c are in ap . Thus, we haveb c d are in gp. Thus, we havec d e are in hp. Thus, we haveSubstituting the value of d from (ii)

We have been given thata b c are in ap . Thus, we haveb c d are in gp. Thus, we havec d e are in hp. Thus, we haveSubstituting the value of d from (ii)Cancel, c from both sides of the numerator

We have been given thata b c are in ap . Thus, we haveb c d are in gp. Thus, we havec d e are in hp. Thus, we haveSubstituting the value of d from (ii)Cancel, c from both sides of the numeratorCross multiplying, we get

We have been given thata b c are in ap . Thus, we haveb c d are in gp. Thus, we havec d e are in hp. Thus, we haveSubstituting the value of d from (ii)Cancel, c from both sides of the numeratorCross multiplying, we getSubstituting the value of b from (i)

We have been given thata b c are in ap . Thus, we haveb c d are in gp. Thus, we havec d e are in hp. Thus, we haveSubstituting the value of d from (ii)Cancel, c from both sides of the numeratorCross multiplying, we getSubstituting the value of b from (i)Cancel ae both sides

We have been given thata b c are in ap . Thus, we haveb c d are in gp. Thus, we havec d e are in hp. Thus, we haveSubstituting the value of d from (ii)Cancel, c from both sides of the numeratorCross multiplying, we getSubstituting the value of b from (i)Cancel ae both sidesThus, we can conclude that a, c, e are in GP.