Question: List the first five terms of the sequence. (-1)2-1 an = n2( 4) 2 3. Find a formula for the general term an of the

 List the first five terms of the sequence. (-1)2-1 an =n2( 4) 2 3. Find a formula for the general term anof the sequence, assuming that the pattern of the first few termscontinues 1 - 3 , 2 , - 4 8 16 3'9' 27'5. Calculate the sum of the series En= ] an whosepartial sum is given. Sn = 2 - 3(0.8) "6. Determine whetherthe series is convergent or divergent by expressing s,, as a telescopingsum. If it is convergent, find its sum. 1 Vn+ 14. Determinewhether the sequence converges or diverges. If it converges, find the limit.An2 - 3n an = 2n2 + 18. Use the Integral Test

to determine whether the series is convergent or divergent n2e-n3 n=11. Determinewhether the integral is convergent or divergent. Evaluate the integral if itis convergent. OO In x dx 1 2 27. Determine whether theseries is convergent or divergent. If it is convergent, find its sum.+ 32 + 23 34 35 36 +...\f10. Determine whether the seriesis absolutely convergent, conditionally convergent, or divergent. (a) E (-1)2+1 n n=0 n +1image text in transcribedimage text in transcribedimage text in transcribed

List the first five terms of the sequence. (-1)2-1 an = n2( 4) 2 3. Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues 1 - 3 , 2 , - 4 8 16 3' 9' 27'5. Calculate the sum of the series En= ] an whose partial sum is given. Sn = 2 - 3(0.8) "6. Determine whether the series is convergent or divergent by expressing s,, as a telescoping sum. If it is convergent, find its sum. 1 Vn+ 14. Determine whether the sequence converges or diverges. If it converges, find the limit. An2 - 3n an = 2n2 + 18. Use the Integral Test to determine whether the series is convergent or divergent n2e-n3 n=11. Determine whether the integral is convergent or divergent. Evaluate the integral if it is convergent. OO In x dx 1 2 27. Determine whether the series is convergent or divergent. If it is convergent, find its sum. + 32 + 23 34 35 36 +...\f10. Determine whether the series is absolutely convergent, conditionally convergent, or divergent. (a) E (-1)2+1 n n= 0 n +1

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