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08 Nov 2016, 02:15
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D
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:
70% (01:29) correct
30%
(01:58)
wrong
based on 245
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There is an arithmetic sequence An where n is a positive integer such that \(A_{n+1}=A_n+3\), what is the value of A10?
1) A1=3.
2) A3+A6=27
1) A1=3.
2) A3+A6=27
10 Nov 2016, 01:17
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==>In the original condition, there are 2 variables (An+1, An), and 1 equation (An+1=An+3), so D is highly likely to be the answer. 1)=2), so you get A10=30, hence unique, and sufficient. The answer is D.
Answer: D
Answer: D
10 Nov 2016, 03:11
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An+1=An+3. Difference between terms is 3.
nth term an arithmetic sequence, \(An = A1 + (n-1)*D\)
An = A1 + (n-1)*3
\(A10 = A1 + 9 *3\)
To find A10, it is sufficient to find A1
1) A1=3.
A1 is known, hence sufficient.
2) A3+A6=27
A1+ (2-1)*3 + A1 + (6-1)*3 = 27
2A1 = 9
A1 = 4.5
Hence sufficient.
Each statement alone is sufficient. Option D
nth term an arithmetic sequence, \(An = A1 + (n-1)*D\)
An = A1 + (n-1)*3
\(A10 = A1 + 9 *3\)
To find A10, it is sufficient to find A1
1) A1=3.
A1 is known, hence sufficient.
2) A3+A6=27
A1+ (2-1)*3 + A1 + (6-1)*3 = 27
2A1 = 9
A1 = 4.5
Hence sufficient.
Each statement alone is sufficient. Option D
