List the rst 10 terms of each of these sequences. a) the sequence obtained by starting with 10 and obtaining each term by subtracting 3 from the previous term b) the sequence whose nth term is the sum of the rst n positive integers c) the sequence whose nth term is 3n - 2n d) the sequence whose nth term is√n e) the sequence whose rst two terms are 1 and 5 and each succeeding term is the sum of the two previous terms

Question

Katelynn Sweeney

Mathematics

15 February, 23:03

List the rst 10 terms of each of these sequences. a) the sequence obtained by starting with 10 and obtaining each term by subtracting 3 from the previous term b) the sequence whose nth term is the sum of the rst n positive integers c) the sequence whose nth term is 3n - 2n d) the sequence whose nth term is√n e) the sequence whose rst two terms are 1 and 5 and each succeeding term is the sum of the two previous terms

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Answers (1)

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Catalina Oneill · Answer 1

a) 10, 7, 4, 1, - 2, - 5, - 8, - 11, - 14, - 17.

c) 1, 2, 3 4 5 6 7 8 9 10.

d) √1, √2, √3 √4, √5, √6 √7, √8, √9 √10.

e) 1, 5, 6, 11, 17, 28, 45, 73, 118, 191.

Step-by-step explanation:

a) 10, 10-3, 10-3-3 ...

c) 3 (1) - 2 (1), 3 (2) - 2 (2), 3 (3) - 2 (3), 3 (4) - 2 (4) ...

= 1, 2, 3, 4 ...

d) √1, √2, √3 ...

e) 1, 5, (5+6), (5 + 11) ...