Question

if the first three terms of an ap are x,y and 2x,then find ratio of x and y.​

Answer 1

Step-by-step explanation:

.خدا حافظ ..... ❤........

Answer 2

Answer:

Step-by-step explanation:

Let the AP series be x, x + d, x + 2d ..

x + ( n - 1 ) d

where

x is the first term of sequence

d is the arithmetic difference

n is the number of term

According to question

First term = x = a..... ( 1 )

second term = x + d = b.

d = b - a. ( 2)

last term x + ( n - 1 ) * d = 2x

substituting the value of d from the above equation 2 in the equation we get

( n - 1 ) ( y - x) = x

n - 1 = x / ( y - x)

n = y / ( y - x) .. ( 3)

Hence as we know sum terms of an AP

AP = n / 2 ( 2* first term + ( n -1 ) d)

Sum = Y / 2 ( y - x) 2x +x / ( y -x) ( y -x)

Sum = 3xy / 2 ( y - x)

hence your answer is 3xy / 2 ( y - x)