Algebra-Arithmetic Progression [NDA (National Defense Academy) Mathematics]: Questions 1 - 5 of 33
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Question 1
Appeared in Year: 2012
Question MCQ▾
What is the term of the sequence 1, 5, 9,13, 17, … ?
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. | None of the above |
Question 2
Appeared in Year: 2016
Question MCQ▾
Let denote the sum of first r terms of an Arithmetic Progression whose first term is r and the common difference is 2r − 1. Let and for r = 1,2, … Which of the following is a correct statement?
Choices
Choice (4) | Response | |
---|---|---|
a. | … are in AP with common difference 11. | |
b. | . . | |
c. | , … are in AP with common difference 5. | |
d. | , … are in AP with common difference 6. |
Question 3
Question MCQ▾
What is the term of the sequence 4, 8, 12, 16, 20, 24,28, 32, … ?
Choices
Choice (4) | Response | |
---|---|---|
a. | 4n | |
b. | ||
c. | ||
d. |
Question 4
Question MCQ▾
Let denote the sum of first r terms of an Arithmetic Progression whose first term is r and the common difference is 2r − 1. Let and for r = 1,2, … Then, is always:
Choices
Choice (4) | Response | |
---|---|---|
a. | an even number | |
b. | an odd number | |
c. | a prime number | |
d. | a composite number |
Question 5
Question MCQ▾
The sum of first six terms of an Arithmetic Progression is 42, while the ratio of its term 10 to its term 30 is 1: 3. Calculate the first term of this Arithmetic Progression?
Choices
Choice (4) | Response | |
---|---|---|
a. | 1 | |
b. | 3 | |
c. | 4 | |
d. | 2 |