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20 Sep 2022, 02:29
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C
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Difficulty:
15%
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Question Stats:
83% (01:26) correct
17%
(01:36)
wrong
based on 96
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The sequence S1, S2 . . . S6 is such that the difference between any two consecutive terms is equal. If S2 = 3 and S6 = -1, what is the value of S3?
A. 5
B. 4
C. 2
D. 1
E. 0
A. 5
B. 4
C. 2
D. 1
E. 0
20 Sep 2022, 06:26
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Given that The sequence S1, S2 . . . S6 is such that the difference between any two consecutive terms is equal and S2 = 3 and S6 = -1. And we need to find the value of S3
Let the difference between consecutive terms be d
=> S3 = S2 + d = S2 + (3-2)d
=> S4 = S3 + d = S2 + 2d = S2 + (4-2)d
...
=> S6 = S2 + (6-2)d = S2 + 4d
=> -1 = 3 + 4d
=> 4d = -1 -3 = -4
=> d = \(\frac{-4}{4}\) = -1
=> S3 = S2 + d = 3 + (-1) = 3-1 = 2
So, Answer will be C
Hope it helps!
Watch the following video to learn How to Sequence problems
Let the difference between consecutive terms be d
=> S3 = S2 + d = S2 + (3-2)d
=> S4 = S3 + d = S2 + 2d = S2 + (4-2)d
...
=> S6 = S2 + (6-2)d = S2 + 4d
=> -1 = 3 + 4d
=> 4d = -1 -3 = -4
=> d = \(\frac{-4}{4}\) = -1
=> S3 = S2 + d = 3 + (-1) = 3-1 = 2
So, Answer will be C
Hope it helps!
Watch the following video to learn How to Sequence problems
27 Jun 2026, 02:14
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