Class 10 Practice – Level 3 – Set 1- Arithmetic Progressions

Total questions: 15

The sum of the first 15 terms of an A.P. is 750 and its first term is 15 then what is the $ \displaystyle {{20}^{th}}$ term?

Topic: nth Term of an AP

110

None

If the sum of the first 20 terms of an AP is 400 , and the sum of the first 30 terms is 900 , what is the sum of the next 10 terms?

Topic: Sum Of First n Terms

400

450

500

550

None

The $ \displaystyle {{9}^{th}}$ term of an AP is 20 more than twice the $ \displaystyle {{3}^{rd}}$ term. if the sum of the first 12 terms is 234 , find the common difference.

Topic: nth Term of an AP

None

If the first term of an AP is a = 5, and the sum of the first n terms is given by $ \displaystyle {{S}_{n}}=3{{n}^{2}}+2n$ , find the $ \displaystyle {{20}^{th}}$ term of the sequence.

Topic: Sequence Identification

102

114

106

119

None

If the sum of the first n terms of an AP is $ \displaystyle 2{{n}^{2}}+3n$ , find the smallest value of n for which the $ \displaystyle {{n}^{th}}$ term exceeds 100.

Topic: nth Term of an AP

None

If the sum of the first 30 terms of an AP is 930 , and the sum of the first 20 terms is 480, what is the common difference?

Topic: Sum Of First n Terms

1.5

2.5

None

The $ \displaystyle {{12}^{th}}$ term of an AP is 64, and the $ \displaystyle {{22}^{nd}}$ term is 124. what is the sum of the first 25 terms?

Topic: nth Term of an AP

1750

1475

1500

1525

None

If the first term of an AP is 10 , and the $ \displaystyle {{15}^{th}}$ term is 52, what is the sum of the first 25 terms?

Topic: Sequence Identification

850

1000

1150

900

None

If the sum of the first 12 terms of an AP is 288, and the sum of the next 12 terms is 576, find the common difference.

Topic: nth Term of an AP

None

10.

The sum of the first of 100 terms of an AP is 5050, and the sum of the first 50 terms is 1275. What is the $ \displaystyle {{100}^{th}}$ term?

Topic: Sum Of First n Terms

100

101

102

103

None

11.

If the first term of an AP is 3, and the common difference is 5, find the smallest value of $ \displaystyle n$ for which the sum of the first $ \displaystyle n$ terms exceeds 1000.

Topic: nth Term of an AP

None

12.

The sum of the first $ \displaystyle n$ terms of an AP is $ \displaystyle 4{{n}^{2}}+n$. For what value of $ \displaystyle 4{{n}^{2}}+n$ does the $ \displaystyle {{n}^{th}}$ term exceed 200?

Topic: Sequence Identification

None

13.

If the $ \displaystyle {{30}^{th}}$ term of an AP is 150, and the $ \displaystyle {{50}^{th}}$ term is 230, what is the sum of the first 50 terms?

Topic: nth Term of an AP

5750

5850

5950

6600

None

14.

If the sum of the first 20 terms of an AP is 780, and the sum of the first 25 terms is 1025, find the common difference.

Topic: Sum Of First n Terms

0.8

0.4

2.5

3.6

None

15.

If the first term of an AP is 12, and the $ \displaystyle {{12}^{th}}$ term is 72, find the smallest value of n for which the sum of the first n terms exceeds 2000.

Topic: nth Term of an AP

None

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Class 10 Practice – Level 3 – Set 1- Arithmetic Progressions

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