•4*(1 - 0.5ˆ(14+1))/(1 - 0.5)•(13-5+1)•4*(0.5ˆ(5))(1 - 0.5ˆ(13-5+1))/(1 - 0.5)14.(1 pt) Express 8.684684684...as a rational number, inthe formpqwherepandqhave no common factors.p=andq=Correct Answers:•964•11115.(1 pt) Find the first five partial sums of the following se-ries. Then find the sum if it is convergent. If it is divergent, type”Diverges” or ”D”.n(n+2)
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∞∑n=1(-3)n-17n1/4-1/(4+2)•1/4-1/(4+2)+1/(4+1)-1/(4+3)•1/4+1/(4+1)-1/(4+3)-1/(4+4)•1/4+1/(4+1)-1/(4+4)-1/(4+5)•1/4+1/(4+1)-1/(4+5)-1/(4+6)13.(1 pt) For each of the finite geometric series given below,indicate the number of terms in the sum and find the sum. For•1/4-1/(4+2)•1/4-1/(4+2)+1/(4+1)-1/(4+3)•1/4+1/(4+1)-1/(4+3)-1/(4+4)•1/4+1/(4+1)-1/(4+4)-1/(4+5)•1/4+1/(4+1)-1/(4+5)-1/(4+6)
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the value of the sum, enter an expression that gives the exactvalue, rather than entering an approximation.A.4+4(0.5)+4(0.5)2+···+4(0.5)14number of terms =value of sum =B.4(0.5)5+4(0.5)6+4(0.5)7+···+4(0.5)13number of terms =value of sum =∞∑k=23(k-1)2-3k2a) Determine whether the series is convergent or divergent:.(Enter ”convergent” or ”divergent” as appropriate.)b) If it converges, find its sum:.If the series diverges, enter here ”divergent” again.
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12.(1 pt) Determine the sum of the following series.s4=,s5=,s6=,s7=, ands8=
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