Q. In a series where each term is multiplied by 3 to get the next term, if the first term is 1, what is the 4th term? (2023)
-
A.
27
-
B.
81
-
C.
243
-
D.
729
Solution
The series is 1, 3, 9, 27. The 4th term is 27.
Correct Answer:
C
— 243
Learn More →
Q. In a series where each term is multiplied by 3 to get the next term, starting from 1, what is the 4th term? (2023)
Solution
The series is 1, 3, 9, 27. The 4th term is 27.
Correct Answer:
A
— 27
Learn More →
Q. In a series where each term is the square of its position, what is the sum of the first 4 terms? (2023)
Solution
The first four terms are 1^2, 2^2, 3^2, 4^2 which are 1, 4, 9, 16. Their sum is 1 + 4 + 9 + 16 = 30.
Correct Answer:
B
— 50
Learn More →
Q. In the series 2, 4, 8, 16, what is the 5th term? (2023)
Solution
The series is a geometric series with a common ratio of 2. The 5th term is 2 * 2^4 = 32.
Correct Answer:
A
— 32
Learn More →
Q. In the series 2, 4, 8, 16, what is the pattern followed? (2023)
-
A.
Addition
-
B.
Subtraction
-
C.
Multiplication
-
D.
Division
Solution
Each term is obtained by multiplying the previous term by 2, indicating a multiplication pattern.
Correct Answer:
C
— Multiplication
Learn More →
Q. In the series 2, 5, 10, 17, what is the pattern in the differences between consecutive terms? (2023)
-
A.
Increasing by 1
-
B.
Increasing by 2
-
C.
Increasing by 3
-
D.
Increasing by 4
Solution
The differences are 3, 5, 7, which are increasing by 2 each time.
Correct Answer:
C
— Increasing by 3
Learn More →
Q. In the series 2, 5, 10, 17, what is the pattern used to generate the next term? (2023)
-
A.
Add consecutive odd numbers
-
B.
Add consecutive even numbers
-
C.
Multiply by 2
-
D.
Subtract 1
Solution
The pattern is to add consecutive odd numbers: 2 + 3 = 5, 5 + 5 = 10, 10 + 7 = 17. The next term is 17 + 9 = 26.
Correct Answer:
A
— Add consecutive odd numbers
Learn More →
Q. What is the 4th term of the arithmetic sequence where the first term is 10 and the common difference is -2? (2023)
Solution
The 4th term is given by a + (n-1)d = 10 + (4-1)(-2) = 10 - 6 = 4.
Correct Answer:
B
— 4
Learn More →
Q. What is the 4th term of the sequence defined by a_n = n^2 + 2n? (2023)
Solution
For n = 4, a_4 = 4^2 + 2*4 = 16 + 8 = 24.
Correct Answer:
A
— 24
Learn More →
Q. What is the 6th term of the sequence defined by a_n = n^2 + n? (2023)
Solution
For n = 6, a_6 = 6^2 + 6 = 36 + 6 = 42.
Correct Answer:
B
— 42
Learn More →
Q. What is the 6th term of the sequence defined by a_n = n^2 - n + 1? (2023)
Solution
Substituting n = 6 gives a_6 = 6^2 - 6 + 1 = 36 - 6 + 1 = 31.
Correct Answer:
C
— 36
Learn More →
Q. What is the common difference in the arithmetic sequence 10, 15, 20, 25? (2023)
Solution
The common difference is found by subtracting any two consecutive terms: 15 - 10 = 5.
Correct Answer:
A
— 5
Learn More →
Q. Which of the following is a characteristic of a converging series? (2023)
-
A.
It approaches a finite limit
-
B.
It diverges to infinity
-
C.
It oscillates indefinitely
-
D.
It has no limit
Solution
A converging series approaches a finite limit as more terms are added.
Correct Answer:
A
— It approaches a finite limit
Learn More →
Q. Which of the following is NOT a characteristic of a Fibonacci sequence? (2023)
-
A.
Each term is the sum of the two preceding ones.
-
B.
It starts with 0 and 1.
-
C.
It can be expressed as a linear function.
-
D.
It grows exponentially.
Solution
A Fibonacci sequence cannot be expressed as a linear function; it is defined recursively.
Correct Answer:
C
— It can be expressed as a linear function.
Learn More →
Q. Which of the following is NOT a characteristic of a geometric sequence? (2023)
-
A.
Each term is multiplied by a constant.
-
B.
The ratio between consecutive terms is constant.
-
C.
The difference between consecutive terms is constant.
-
D.
It can converge to a limit.
Solution
In a geometric sequence, the ratio between consecutive terms is constant, not the difference.
Correct Answer:
C
— The difference between consecutive terms is constant.
Learn More →
Q. Which of the following is NOT a characteristic of a geometric series? (2023)
-
A.
Each term is multiplied by a constant
-
B.
The ratio between consecutive terms is constant
-
C.
The sum of the series can be infinite
-
D.
The difference between consecutive terms is constant
Solution
In a geometric series, the ratio between consecutive terms is constant, not the difference.
Correct Answer:
D
— The difference between consecutive terms is constant
Learn More →
Q. Which of the following is NOT a property of a geometric series? (2023)
-
A.
The ratio between consecutive terms is constant
-
B.
The sum can be infinite
-
C.
The terms can be negative
-
D.
The difference between consecutive terms is constant
Solution
In a geometric series, the ratio between consecutive terms is constant, not the difference.
Correct Answer:
D
— The difference between consecutive terms is constant
Learn More →
Q. Which of the following statements about the Fibonacci sequence is true? (2023)
-
A.
It starts with 0 and 1
-
B.
It is an arithmetic sequence
-
C.
It has a constant difference
-
D.
It is a geometric sequence
Solution
The Fibonacci sequence starts with 0 and 1, and each subsequent term is the sum of the previous two.
Correct Answer:
A
— It starts with 0 and 1
Learn More →
Q. Which of the following statements about the sequence defined by a_n = 3n + 1 is true? (2023)
-
A.
It is an arithmetic sequence.
-
B.
It is a geometric sequence.
-
C.
It is a harmonic sequence.
-
D.
It is a Fibonacci sequence.
Solution
The sequence defined by a_n = 3n + 1 has a constant difference between consecutive terms, hence it is an arithmetic sequence.
Correct Answer:
A
— It is an arithmetic sequence.
Learn More →
Q. Which of the following statements about the series 1, 1/2, 1/4, 1/8 is true? (2023)
-
A.
It is an arithmetic series.
-
B.
It is a geometric series.
-
C.
It diverges.
-
D.
It is a constant series.
Solution
The series is a geometric series with a common ratio of 1/2.
Correct Answer:
B
— It is a geometric series.
Learn More →
Q. Which of the following statements about the series 1, 4, 9, 16, 25 is true? (2023)
-
A.
It is an arithmetic series.
-
B.
It is a geometric series.
-
C.
It consists of perfect squares.
-
D.
It is a Fibonacci series.
Solution
The series consists of perfect squares: 1^2, 2^2, 3^2, 4^2, 5^2.
Correct Answer:
C
— It consists of perfect squares.
Learn More →
Showing 31 to 51 of 51 (2 Pages)
