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

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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.

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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.

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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

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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

Edit