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Progressions MCQ

X, 17, 3x - y2 - 2 and 3x + y2 - 30 are four consecutive terms of an increasing arithmetic sequence. The sum of the four numbers is divisible by:

Answer

Correct Answer: 2

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If the temperature in Ballybofey during the month of June increased by 0.5 degrees each day and it reached its peak at 25 degrees on the last day of the month, what was the temperature on the 1st of June in Ballybofey that year?

Answer

Correct Answer: 10.5

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If an arithmetic sequence has a positive first term, how can subsequent terms become negative?

Answer

Correct Answer: When the common difference is negative.

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The value of the expression 100∑i=2 1/logi100! is:

Answer

Correct Answer: 1

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Expression 13∑n=11/n can also be written as x/13! What would be the remainder if x is divided by 11?

Answer

Correct Answer: 9

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The sum of n terms of an AP is 3n2 + 5n. The series is

Answer

Correct Answer: 8,14, 20, 26

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The 20th term of the progression 1, 4, 7,10.............. is

Answer

Correct Answer: 58

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Is the following sequence an arithmetic sequence 2, 4, 7, 11, 16?

Answer

Correct Answer: No

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Which term of the progression -1, -3, -5,.... Is -39

Answer

Correct Answer: 20th

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A sum of Rs. 6240 is paid off in 30 instalments such that each instalment is Rs. 10 more than the proceeding installment. The value of the Is' instalment is

Answer

Correct Answer: None of these

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The sixth term of an arithmetic sequence is 27 and the tenth term is 47. What is the value of the first term a and the common difference d?

Answer

Correct Answer: A=2 and d=5

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Sum of n terms of the series 4 + 44 + 444 + ... is A. 4/9 { 10/9 ( 10n -1 ) -n } B. 10/9 ( 10n -1 ) -n C. 4/9 ( 10n -1 ) -n D. None of these

Answer

Correct Answer: A

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Assuming the pattern continues, is 6,10,14,18 an arithmetic sequence?

Answer

Correct Answer: Yes

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What is the next number in the progression 26, 19, 12, 5, …?

Answer

Correct Answer: –2

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The average of 7 consecutive number is P. If the next three numbers are also added, the average shall:

Answer

Correct Answer: Increase by 1.5

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