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CBSE Class 10  >  Class 10 Test  >  Online MCQ Tests  >  Test: Sum of n Terms of AP - Class 10 MCQ

Sum of n Terms AP - Free MCQ Practice Test with solutions, Class 10


MCQ Practice Test & Solutions: Test: Sum of n Terms of AP (10 Questions)

You can prepare effectively for Class 10 Online MCQ Tests for Class 10 with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test: Sum of n Terms of AP". These 10 questions have been designed by the experts with the latest curriculum of Class 10 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 10 minutes
  • - Number of Questions: 10

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Test: Sum of n Terms of AP - Question 1
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What is the sum of the first 20 whole numbers?​

Detailed Solution: Question 1

Test: Sum of n Terms of AP - Question 2
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The first and last term of an A.P. are 1 and 11. If the sum of its terms is 36, then the number of terms will be

Detailed Solution: Question 2

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Test: Sum of n Terms of AP - Question 3
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For an A.P the sum of first 30 terms is -1155,the common difference is -3and the thirtieth term is -82. What is the first term?

Detailed Solution: Question 3

l = a + (n - 1)d
Where l = -82,a = ?,d = -3,n = 30
-82 = a + 29 (- 3)
a = 5

Test: Sum of n Terms of AP - Question 4
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Find the sum of the first 15 multiples of 8.

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Test: Sum of n Terms of AP - Question 5
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How many terms of AP 54, 51, 48… are required to give a sum of 513?​

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Test: Sum of n Terms of AP - Question 6
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If the sum of n terms of an AP is 3n2+5n then which of its terms is 164?​

Detailed Solution: Question 6

Sn=3n2+5n

S1=a1=3(1)2+5(1)=8

S2=3(2)2+5(2)=22

S2=22=a1+a2

a2=22-8=14

d=a2-a1=14-8=6

nth term value is 164,then what is n?

nth term=a+(n-1)d

164=8+(n-1)6

164-8 / 6=n-1

156/6=n-1

26+1=n

n=27

So 27thterm is 164.

Test: Sum of n Terms of AP - Question 7
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For an A.P. tn = 2n+3, what is the formula for Sn?​

Detailed Solution: Question 7

Given , tn = 2n+3
t1=2×1+3
t1=5
Sn=n/2(t1+tn)
=n/2 (5+2n+3)
=n/2(2n+8)
=n(n+4)

Test: Sum of n Terms of AP - Question 8
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If for an A.P.Sn = n2 + 3n What is the n th term?​

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Test: Sum of n Terms of AP - Question 9
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What is the sum of the first 25 terms of the A.P -10,-7,-4,…….?​

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Test: Sum of n Terms of AP - Question 10
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The sum of the first n terms of an A.P. is 2235.The first term is 2 and the common difference is 5. What is n = ?

Detailed Solution: Question 10

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About this Class 10 Practice Test

This test contains 10 MCQs on Sum of n Terms of AP with detailed solutions for each question. It is part of the Online MCQ Tests for Class 10 course on EduRev, designed to align with the current Class 10 syllabus. Each solution explains not just the correct answer but also gives you an understanding of the topic — not just to attempt the question but also help you prepare for the exam with practice.

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