Q6 Please help me answer all parts to this practice calculus question The Cauchy condensation test says the following. "Let (a, be a nonincreasing sequence (an z an +1 for all n) of positive terms that converges to 0.%3D2n1 diverges. Show why the test works.State the Cauchy condensation test symbolically. Choose the correct answer below.0000O A. 2 an = 0 +E 2"a,n = 0n=1-n = 100O B. 2 an =0 + 2 2"a,n < 00n= 1n= 10000O C. 2 an < 00 +E 2"a,n < 00n=1n= 10000Assume an < 0o. Show that 2 2"a,n< 00, List the first few terms of the seriesan < 0o. Choose the correct answer below.n= 1n= 1n= 1+ (an + an + an + an) + (an+ an + .. + an... < 00O A. an + an + (an + anO B. a, +a2 + (a3 + a4) + (a5 + a6 + a7 + ag) + (ag + a10 Rewrite the terms using the fact that a, zan11 for all n. Choose the correct answer below.- 1O A. an+1*an+1* (an+1+an+1) + (an+1 + an+1 + an + an)+ .. < 00O B. a1 -a2- (a4 +a4) - (ag +ag -ag + ag) - (a16 + a16 + …*+a16) -- ... < 00Oc. a1 +a, + (a4 + a4) + (ag + ag + ag + ag) + (a16 + a16a16) *+ ... ++ ... < 00Multiply each term in the şeries by 2.O A. 2an+1+2an+1* (2an + 1+ 2an+1) + (2an + 1 + 2an +1+ 2an + 2an) + ... < co2a16)B. 2a1 - 2a2 - (2a4 + 2a4) - (2ag + 2ag - 2ag + 2ag)- (2a16 + 2a16 + - ++ ... < 0oOc. 2a, + 2a, + (2a1 + 2a1) + (2ag + 2ag + 2ag + 2ag) + (2a16 + 2a16+ .. + 2a16)...< 00What can be said about the series now?0000O A. The series equals 2a, + 2"a,n < o, so it follows that 2" a,n << 00

Name: Q6 Please help me answer all parts to this practice calculus question
Uploaded: 2024-03-20T06:46:03.000Z
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Description: Q6 Please help me answer all parts to this practice calculus question The Cauchy condensation test says the following. "Let (a, be a nonincreasing sequence (an z an +1 for all n) of positive terms that converges to 0.%3D2n1 diverges. Show why the tes