(3) Agree that we may artificially rewrite an infinite series An ao + a1 + a2 + a3 + a4 + a5 + a6 +.. n=0 1 as times )+(ar+a2)+(a2+as) )+( (as+as)+(as+as) ) +( (as+as)+(ao+ar) 2ao+a1 +.. Specifically for 4· 2 ao 1, A2 3- 1 6 · 4· 2 8· 6 . 4. 2 10 ·8·6 .4·2 a3 = a4 = A5 = 5 ·3· 1 7.5 · • 1 9· 7:5 · 3·1 12 · 10 · 8 ·6·4·2 14 · 12 · 10·8·6·4· 2 a6 a7 11 ·9 ·7 ·5·3 ·1 13 · 11 ·9 ·7·5·3·1 the above underlined terms are 2 ao + a1 0, (a1 + az) + (a2 + as) (as + as) + (as + as) a4 + a5 (as + as) + ( ) a6 + a7

Q: Verify that the infinite series diverges.

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Q: Verify that the infinite series diverges.

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A: Ans is given in following photo added

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Q: Verify that the infinite series diverges.

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A: Use root test to check the convergence

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Q: The infinite series is divergent. O True O False

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A: Explanation of the answer is as follows

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Q: How do we know the series is clearly conditionally convergent in a)?

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Q: in 6.7

A: Interval of convergence.

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A: