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# During the month of April, the average temperatures on day n in two ci

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Joined: 20 Jul 2018
Posts: 88
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During the month of April, the average temperatures on day n in two ci  [#permalink]

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25 Aug 2018, 09:41
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During the month of April, the average temperatures on day n in two cities A and B are denoted by TA(n) and TB(n) respectively. The average temperature in city A on any day is the average of the average temperatures of the previous two days in city A. The average temperature in city B on any day is the average of the average temperatures of the previous two days in city B. If TA(1) = 30, TA(2) = 35, TB(1) = 35 and TB(2) = 30, which of the following statements must be true?

$$I. TA(4) - TB(4) > TA(29) - TB(29)$$
$$II. TA(4) + TB(4) = TA(29) + TB(29)$$
$$III. |TA(n+1) - TA(n)| = |TB(n+1) - TB(n)|$$ for $$n>3$$

A. II only
B. III only
C. I and II only
D. II and III only
E. I, II and III

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Hasnain Afzal

"When you wanna succeed as bad as you wanna breathe, then you will be successful." -Eric Thomas
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Joined: 20 Feb 2015
Posts: 795
Concentration: Strategy, General Management
Re: During the month of April, the average temperatures on day n in two ci  [#permalink]

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25 Aug 2018, 10:43
hasnain3047 wrote:
During the month of April, the average temperatures on day n in two cities A and B are denoted by TA(n) and TB(n) respectively. The average temperature in city A on any day is the average of the average temperatures of the previous two days in city A. The average temperature in city B on any day is the average of the average temperatures of the previous two days in city B. If TA(1) = 30, TA(2) = 35, TB(1) = 35 and TB(2) = 30, which of the following statements must be true?

$$I. TA(4) - TB(4) > TA(29) - TB(29)$$
$$II. TA(4) + TB(4) = TA(29) + TB(29)$$
$$III. |TA(n+1) - TA(n)| = |TB(n+1) - TB(n)|$$ for $$n>3$$

A. II only
B. III only
C. I and II only
D. II and III only
E. I, II and III

https://gmatclub.com/forum/during-the-m ... 13138.html
Re: During the month of April, the average temperatures on day n in two ci   [#permalink] 25 Aug 2018, 10:43
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# During the month of April, the average temperatures on day n in two ci

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