NDA Mathematics 4 September 2022 | Sequence And Series Question 74 | Mathematics

Let P be the sum of first n positive terms of an increasing arithmetic progression A. Let Q be the sum of first n positive terms of another increasing arithmetic progression B.

Let P ∶ Q = (5n + 4) ∶ (9n + 6)

What is the ratio of the first term of A to that of B ?

1/3

2/5

3/4

3/5

NDA Mathematics 4 September 2022

MCQ (Single Correct Answer)

+2.5

-0.83

Let P be the sum of first n positive terms of an increasing arithmetic progression A. Let Q be the sum of first n positive terms of another increasing arithmetic progression B.

Let P ∶ Q = (5n + 4) ∶ (9n + 6)

What is the ratio of their 10th terms ?

11/29

22/49

33/59

44/69

NDA Mathematics 4 September 2022

MCQ (Single Correct Answer)

+2.5

-0.83

Let P be the sum of first n positive terms of an increasing arithmetic progression A. Let Q be the sum of first n positive terms of another increasing arithmetic progression B.

Let P ∶ Q = (5n + 4) ∶ (9n + 6)

If d is the common difference of A, and D is the common difference of B, then which one of the following is always correct ?

D > d

D < d

7D > 12d

None of the above

NDA Mathematics 4 September 2022

MCQ (Single Correct Answer)

+2.5

-0.83

Let f(x) be a function satisfying f(x + y) = f(x) f(y) for all x, y ∈ N such that f(1) = 2 :

If $\displaystyle\sum_{x=2}^n$f(x) = 2044, then what is the value of n ?

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