The sum of the first k terms of a series is 3k2 + 5k. Which one of the following is correct?

The terms of S form an arithmetic progression with common difference 14.

The terms of S form an arithmetic progression with common difference 6.

The terms of S form a geometric progression with a common ratio 10 7.

The terms of S form a geometric progression with a common ratio 11 4.

Arithmetic progression Practice Questions - NDA Mathematics Question Bank

Question 1 of 10 Authentic UPSC NDA Question

If the sum of the first 9 terms of an AP is equal to sum of first 11 terms, then what is the sum of the first 20 terms?

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Question 2 of 10 Authentic UPSC NDA Question

For the following two (02) items:

Let (6 + 10 + 14 +... up to m terms) = (1 + 3 + 5 + 7 +... up to n terms) where m < 25 and n < 25.

What is the relation between m and n?

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Question 3 of 10 Authentic UPSC NDA Question

How many terms are identical in the two APS 19, 21, 23,... up to 110 terms and 19, 22, 25, 28,... up to 75 terms?

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Question 4 of 10 Authentic UPSC NDA Question

How many terms of the series 1 + 3 + 5 + 7 +... amount to a sum equal to 12345678987654321?

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Question 5 of 10 Authentic UPSC NDA Question

If p, 1 and q are in AP and p and 2 q are in GP, then which of the following statements is/are correct? I. p, 4, q are in HP.

II. 1p, 1/4 ,1/q are in AP.

Select the answer using the code given below:

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.

Question 6 of 10 Authentic UPSC NDA Question

If the 5^th, 7^th and 13^th terms of an AP are in GP, then what is the ratio of its first term to its common difference?

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Question 7 of 10 Authentic UPSC NDA Question

The sum of the first k terms of a series is 3k² + 5k. Which one of the following is correct?

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Question 8 of 10 Authentic UPSC NDA Question

What is the sum of all five terms?

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Question 9 of 10 Authentic UPSC NDA Question

Direction: Consider the following for the next two items
that follow

The product of five consecutive terms of an AP
is 2,29,635. The first, second and fifth terms are
in GP

What is the common difference?

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Question 10 of 10 Authentic UPSC NDA Question

For the following two (02) items:

Let (6 + 10 + 14 +... up to m terms) = (1 + 3 + 5 + 7 +... up to n terms) where m < 25 and n < 25.

How many values of m are possible?

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