Math, asked by varunvarsha2006, 8 months ago

find x y z given that the numbers x 10 y 24 z are in a.p​

Answers

Answered by sailifkhan2009
0

Answer:This is an arithmetic progression or sequence with 5 terms

or numbers (n = 5) , so the nth term of the sequence is :

an=a1+d(n−1)  (1)

We have:

a1=8  and  a5=20  

We can find the mean value of the arithmetic series (here it's y or  a3  ) consisting of these 5 numbers :

y=12(a1+a5)  

y=8+202  

y=14  

We can also find the difference d of successive terms by using equation (1) above :

a5=a1+(5−1)d  

20=4d+8  

We get :

d=124=3  

Now we can find the values of x and z :

x - d = 8

x - 3 = 8

x = 11

And :

20 - d = z

20 - 3 = z

z = 17

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