Find an explicit rule for the nth term of the arithmetic sequence.a10 = 32, a12 = 106
A. an = -301 - 37(n + 1)
B. an = -301 + 37(n - 1)
C. an = -301 + 37(n - 2)
D. an = -301 + 37(n + 1)
Answer: B
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The (r + 1)st term of the expression (a + b)n, 0 ? r ? n, is given by an - rbr. Find the specified term.The 5th term of (2x + 3y)10.
A. 362,880x4y6 B. 544,320x4y6 C. 1,088,640x6y4 D. 362,880x6y5
Find all the complex roots. Write the answer in the indicated form.The complex cube roots of 125(cos 273° + i sin 273°) (polar form)
A. -5(cos 91° + i sin 91°), 5(cos 211° + i sin 211°), -5(cos 331° + i sin 331°) B. 5(cos 91° + i sin 91°), 5(cos 131° + i sin 131°), 5(cos 171° + i sin 171°) C. -5(cos 91° + i sin 91°), 5(cos 131° + i sin 131°), -5(cos 171° + i sin 171°) D. 5(cos 91° + i sin 91°), 5(cos211° + i sin 211°), 5(cos 331° + i sin 331°)
Find the degree measure that corresponds to each radian measure.
(a) 108° , 330° (b) 135° , 330° (c) 108° , 345° (d) 135° , 225° (e) 35° , 330°
If the set W is a vector space, find a set S of vectors that spans it. Otherwise, state that W is not a vector space.W is the set of all vectors of the form , where a and b are arbitrary real numbers.
A. ,
,
B. ,
C. Not a vector space
D. ,