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Updated on: 23 Nov 2023, 07:15
Originally posted by NithinRaja on 23 Nov 2023, 07:08.
Last edited by Bunuel on 23 Nov 2023, 07:15, edited 1 time in total.
Last edited by Bunuel on 23 Nov 2023, 07:15, edited 1 time in total.
Renamed the topic.
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
77% (02:18) correct
23%
(02:17)
wrong
based on 145
sessions
History
Date
Time
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Not Attempted Yet
A sequence \(Z_n = 2n - 1\) for a positive integer n. Let \(S_n\) be the sum of \(Z_m\) where m is an integer from 1 to n. Which of the following can be the value of \(S_n\)?
A. 12
B. 24
C. 36
D. 48
E. 60
A. 12
B. 24
C. 36
D. 48
E. 60
23 Nov 2023, 10:56
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Given sequence Zn = 2n - 1
Sum up to the nth term: Sn = Z1 + Z2 + ... + Zn
Explanation:
Sn = (2(1) - 1) + (2(2) - 1) + (2(3) - 1) + ... + (2n - 1)
Sn = 2(1 + 2 + 3 + ... + n) - n
Sn = 2 * (n(n + 1) / 2) - n Sn = n(n + 1) - n
Sn = n^2
Sn = A perfect Square
i.e. Option C = 36
Sum up to the nth term: Sn = Z1 + Z2 + ... + Zn
Explanation:
Sn = (2(1) - 1) + (2(2) - 1) + (2(3) - 1) + ... + (2n - 1)
Sn = 2(1 + 2 + 3 + ... + n) - n
Sn = 2 * (n(n + 1) / 2) - n Sn = n(n + 1) - n
Sn = n^2
Sn = A perfect Square
i.e. Option C = 36
30 Dec 2024, 10:22
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Sn = 2 * (n(n + 1) / 2)
Not sure I follow this part - possible to explain? Ty
Not sure I follow this part - possible to explain? Ty
