Asked by Irene
Given the sequence:4;x;32.Determine the value(s) of x if the sequence is:
1.arithmetic
2.geometric
1.arithmetic
2.geometric
Answers
Answered by
Steve
AP:
x-4 = 32-x
2x=36
x=18
AP=4,18,32
GP:
x/4 = 32/x
x^2 = 128
x = ±√128
GP=4,√128,32
or
4,-√128,32
x-4 = 32-x
2x=36
x=18
AP=4,18,32
GP:
x/4 = 32/x
x^2 = 128
x = ±√128
GP=4,√128,32
or
4,-√128,32
Answered by
Eddie
Arithmetic Progression - applying common difference,
$x-4=32-x$
$2x=32+4$
$2x=36$
$x= 18$
Geometric Progression - apply common ratio,
$\dfrac{x}{4} = \dfrac{32}{x}$
$x^2 =128$
$x = \pm \sqrt{128}$
$x-4=32-x$
$2x=32+4$
$2x=36$
$x= 18$
Geometric Progression - apply common ratio,
$\dfrac{x}{4} = \dfrac{32}{x}$
$x^2 =128$
$x = \pm \sqrt{128}$