ssuming that the nth term in the sequence of partial sums for the series "-0 is given below. Determine if the se- а, =0 is convergent or divergent. If the series is convergent, determine the value of the series.

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A: Expressing terms as a telescoping sum:∑n=4∞ 8n2-14∑n=4∞ 2(n+1)(n-1)4∑n=4∞ 1n-1-1n+1∑n=4∞…

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A: Determine whether the series converges; if so, find its sum. If the series diverges, indicate that…

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Q: Determine whether the series converges or diverges. n+ 5 (n + 4)* converges O diverges

A: Here, an=n+5n+44.Now,                  limn→∞an+1an=limn→∞ n+1+5n+1+44n+5n+44=limn→∞…

Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as improper…

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A: We need to use the Ratio Test to determine the convergence or divergence of the series.

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A: S∞ = ∑n=1∞12n+1

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Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate…

A: Given ∑k=1∞56k+2=∑k=1∞56k562                              =2536∑k=1∞ 56k This series can expressed…

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A: given,         sn=∑n=1∞1n3

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Q: determine whether the geometric series converges or diverges. If a series converges, find its sum.

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