Question

if first term of a ap is x cd = 3 what is the next term?
write ap in such the product of two term 28 and cd is 3​
pls help

Answer 1

Answer:

here is ans: Let the 3 terms of the AP be (a−d),a,(a+d)

Terms of the GP: a,(a−d),(a+d) in that order.

In a GP, terms next to each other have the same ratio.

So,

a

(a−d)

=

(a−d)

(a+d)

(a−d)

2

=a(a+d)

d

2

−2ad=ad

d

2

−3ad=0

d(d−3a)=0

We know that d is not 0 from the question. So d=3a

Common ratio=

a

(a−d)

2

+b

2

)x

2

−2b(a+c)x+(b

2

+c

2

)=0 it is proved