Progressions MCQs

Progressions MCQs

The following Progressions MCQs have been compiled by our experts through research, in order to test your knowledge of the subject of Progressions. We encourage you to answer these multiple-choice questions to assess your proficiency.
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1: The average of 7 consecutive number is P. If the next three numbers are also added, the average shall:

A.   Remain unchanged

B.   Increase by 1.5

C.   Increase by 1

D.   Increase by 2

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

A.   –1

B.   –2

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

A.   Yes

B.   No

4: 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

A.   A

B.   C

C.   B

D.   D

5: 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?

A.   A=2 and d=5

B.   A=2 and d=2

6: 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

A.   None of these

B.   Rs. 60

C.   Rs. 30

D.   Rs. 36

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

A.   None of these

B.   19th

C.   21st

D.   20th

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

A.   Yes

B.   No

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

A.   52

B.   None of these

C.   50

D.   58

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

A.   None of these

B.   8, 22,42, 68

C.   8,14, 20, 26

D.   22, 68,114,....

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

A.   7

B.   2

C.   4

D.   9

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

A.   1

B.   0.01

C.   10

D.   0.1

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

A.   When the common difference is positive but very small.

B.   When the common difference is negative.

14: 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?

A.   10.5

B.   12.5

15: 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:

A.   7

B.   2

C.   3

D.   5