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CDS || Math || Arithmetic Progression Part-1 || Quiz

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Question 1

What is the fourth term of an AP of n terms who sum is n(n + 1)?

Question 2

Three numbers are in AP. If their sum is 27 and their product is 648, find the sum of the first and last numbers

Question 3

The digits of a 3 - digit number are in AP, and their sum is 15. The number obtained by reversing the digits is 594 less than the original number. Find the number.

Question 4

If  where  denotes the sum of the first  terms of an AP, then the common difference is

Question 5

Direction: The sixth term of an AP is 2 and its common difference is greater than 1.

What is the common difference of the AP so that the product of the first, fourth and fifth terms is greatest?

Question 6

Direction: The sixth term of an AP is 2 and its common difference is greater than 1.
What is the first term of the AP so that the product of the first, fourth and fifth terms is greatest?

Question 7

Let Tr be the rth term of an AP for r = 1, 2, 3, …… . If for same distinct positive integers m and n we have Tm = 1/n and
Tn = 1/m, then what is Tmn equal to?

Question 8

The sum of (p + q)th and (p - q)th terms of an AP is equal to

Question 9

If the sum of n terms of an AP is given by Sn = (2n2 + 3n), then find its common difference.

Question 10

If the non zero number p, q and r are in A.P. and  are also in A.P. then
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Jan 5CDS & Defence