Select the correct answer 641 541 5409 5411 Solution 1Find t

Select the correct answer.

	6.41
	5.41
	5.409
	5.411

Solution

1)Find the partial sumof the seriesrounded to the nearest thousandth. Question 7 options: n an=5/4^n sum 1 1.2500 1.2500 2 0.3125 1.5625 3 0.0781 1.6406 4 0.0195 1.6602 5 0.0049 1.6650 6 0.0012 1.6663 7 0.0003 1.6666 8 0.0001 1.6666 9 0.0000 1.6667 10 0.0000 1.6667 11 0.0000 1.6667 none of answers fit 1.667 2)Given the series: and. Determine whether each series is convergent or divergent. Question 8 options: a) converges because cos ^2(10n)is greater than or equal to zero and less than 1 so series a is 1 so it converges and so does a b diverges because cos is greater than or equal to -1 and less than or equal to 1, which does not converge to 0, so b diverges ans Ais convergent,Bis divergent. 3)Determine whether the series converges or diverges. NO SERIES Select the correct answer. Question 9 options: neither diverges converges 4)Determine whether the sequence converges or diverges. diverges because n(n-6) goes to infinity as n goes to infinity Question 10 options: converges diverges