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04 Apr 2011, 05:22
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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:
94% (01:48) correct
6%
(00:56)
wrong
based on 16
sessions
History
Date
Time
Result
Not Attempted Yet
IF the 3d term in a sequence is 25 and the 10th term is - 3 . what is the 87th term in the sequence
15
299
-311
- 354
-408
15
299
-311
- 354
-408
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04 Apr 2011, 05:38
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rxs0005
Sol:
\(A_n=A_1+(n-1)d\)
where,
\(A_n=\) \(n^{th}\) term in a sequence
\(A_1=\) \(1^{st}\) term in a sequence
\(d=\)Common difference between two consecutive terms in a sequence
\(3^{rd}\) term in a sequence is \(25\)
\(25=A_1+(3-1)d\)
\(25=A_1+2d\) -----------1
\(10^{th}\) term in a sequence is \(-3\)
\(-3=A_1+(10-1)d\)
\(-3=A_1+9d\) -----------2
Solving equations 1 and 2:
\(A_1+2d=25\)
\(A_1+9d=-3\)
\(A_1=33\)
\(d=-4\)
\(A_{87}=A_1+(n-1)d = 33+(87-1)*(-4)=33-344=-311\)
Ans: "C"
04 Apr 2011, 05:40
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T3 = 25
T10 = -3
T10 - T3 = -28 = -7*4
So for a difference of 7, the value is 7 * -4
So for a difference of 77, multiply by 77 * -4 = -308
T87 = -308 - 3 = -311
Answer - C
T10 = -3
T10 - T3 = -28 = -7*4
So for a difference of 7, the value is 7 * -4
So for a difference of 77, multiply by 77 * -4 = -308
T87 = -308 - 3 = -311
Answer - C
