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12 Jan 2024, 06:14
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In a certain sequence the first term is 1, and the second term is 2. After the second term, each term can be obtained by subtracting from the previous term the term before it. For example, the third term is 2-1=1. How many different values are possible for the sum of the first n terms ?
A. 2
B. 3
C. 4
D. 5
E. More than 5
A. 2
B. 3
C. 4
D. 5
E. More than 5
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12 Jan 2024, 06:46
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Churej
The question is screaming to find few terms of the sequence.
The sequence has to repeat if the options given are finite numbers.
The sequence will be 1, 2, (2-1), (2-1-2), ….
1,2,1,-1,-2,-1,1,2…….
Sum of one term = 1
Sum of first two terms = 1+2=3
Sum of first three terms = 3+1=4
Sum of first four terms = 4-1=3
Sum of first five terms = 3-2=1
Sum of first six terms = 1-1 = 0
Thereafter, the terms are repeating.
So, the different terms are 1, 3, 4 and 0.
C
General Discussion
Oppenheimer1945
Joined: 16 Jul 2019
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Schools: INSEAD '26 (D) ISB '27 (D) IIMB '26 (A) IIMA '26 (A) HEC '26 (D) LBS '26 IESE '27 (D) Fuqua '27 (WL) Tepper '27 (WL)
GMAT Focus 1: 645 Q90 V76 DI80
Posts: 786
12 Jan 2024, 11:34
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Terms are 1,2,1,-1,-2,-1,1,2,1,-1...
Sum(n)=1,3,4,0 (4 distinct values)
Sum(n)=1,3,4,0 (4 distinct values)
