If the geometric means are inserted between 2 and 250 find the second term of these geometric means.
a.5
b.50
c.75
d.100
a.5
b.50
c.75
d.100
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Answer:
The second term is 10.
Step-by-step explanation:
2,_,_,250
use geometric formula
aₙ = a₁ rⁿ⁻¹
250 = 2(r⁴ ⁻¹)
250 = 2r³
125 = r³
\sqrt125 = \sqrt[3]r{3}
1
25=
3
r
3
r = 5
2 x 5 = 10
Thus, 2,10,50,250 is the complete geometric sequence.