ANSWER:

problem 1and 2
Problem 1 [3 marks] Assume that the nth term in the sequence of partial sums for the series ,, is given below. Determine if the series is convergent or divergent. If the series is convergent determine the value of the series. a) Sn = 2-72 b) SEP Problem 2 [2 marks] Does the series (-1)" cos converge absolutely, or diverge?
Write an expression for the nth term of each sequence. 16. -4 6 8 10 2 '8'26.80 17. -7,5,-3.1,-1, 3.....
i was having trouble with these 2
Write an expression for the nth term of the sequence. (Your formula sha 1 1 2 3' 7' 25121 an Determine whether the sequence you have chosen converges or diverge DETAILS LARCALCET7 9.R.031. [-/10 Points] Find the sum of the convergent series. E (3)
2 3. Leta, = (-1) represent the nth term of a sequence. (a) Write the first 5 terms of the sequence. [5 points] (b) What kind of sequence is this? Explain. (4 points) (c) What is >a, called? How is it different from the sequence in part (a)? Explain [4 points] (d) Evaluate: Σ.T7 points]
2. Write an expression for the nth term of the sequence (there is more than one correct answer). (a) 2, -1, ì: -1, 5,... (b) 1, 2, 5, 10.....
Write a formula for the nth term of the following geometric sequence '3 9' 27 Find a formula for the nth term of the geometric sequence. n- 1
6720 QUESTION 2 Write down the nth term of the sequence suggested by the pattern: 1 1 1 (1)(2) 2)(3)(3)(4) ’ (4)(5)* *** O None of these (n-1)(n) (n + 1)(n + 2) (n)(n + 1)
Write a formula for the general term (the nth term) of the arithmetic sequence, a, a, ag, ...Then, use the formula for an to find azo, the 20th term of the sequence 4.1. - 2.-5... an- (Simplify your answer.)
The nth term of a sequence is given. Write the first four terms of the sequence. a = 217 O-5, -3, -1, 1 O -5, -3, 1,9 O-7,-5, -3, -1 O-7,-5, -3,1 O None of these
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Write a formula for the general term or nth term for the sequence. Then find the indicated term. 6, 8, 10, 12, 14, ...; 010 an-2n + 4 (Simplify your answer. Type an expression using n as the variable.) 210 = 24 (Simplify your answer.)