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