puzzledprincess8037
31.03.2020 •
Mathematics
Find the 12th term of the geometric sequence
2
,
−
8
,
32
,
.
.
.
2,−8,32,...
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Ответ:
The 12th term of the geometric sequence is -8,388,608
The formula for calculating the nth term of a geometric sequence is expressed as:
a is the first term
n is the number of terms
r is the common ratio
Given the sequence of numbers 2, -8, 32...
a = 2
r = -8/2 = 32/-8 =-4
n = 12 (We need the 12th term)
Substitute the given parameters into the formula;
Hence the 12th term of the geometric sequence is -8,388,608
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Ответ:
The 12th term of the geometric sequence would be -8,388,608.
Step-by-step explanation:
Given that,
The first term of geometric sequence is = a1 = 2
a2 = -8
a3 = 32
Now, the formula for nth term of a geometric sequence is
So,
Now,
a = 2
a*r = -8
By putting the value of a, we get
2*r = -8
or
r = -4
For 12th term, the formula would be:
now, put the values of a and r:
a12 = 2 * (-4,194,304)
a12 = -8,388,608
Hence, the 12th term of the geometric sequence would be -8,388,608.
Ответ:
∠ A = 35°
Step-by-step explanation:
The measure of the tangent- tangent angle A is half the difference of the intercepted arcs.
minor arc = 145°
major arc = 360° - 145° = 215°
Then
∠ A = ( 215 - 145) = × 70° = 35°