AP 25 MCQ 1, Arithmetic Progression (AP) - Important MCQ Questions & Solutions for BOARD EXAMINATION
Arithmetic Progression (AP) - Important Questions & Solutions
Welcome to our in-depth video on Arithmetic Progression (AP)! This video covers a variety of important multiple-choice questions (MCQs) that will help you master the concepts of AP, including common difference, nth term, sum of terms, and solving equations based on AP.
Topics Covered:
✔️ Finding unknown terms in an AP
✔️ Identifying whether a sequence is an AP
✔️ Finding common difference and nth term
✔️ Solving AP equations for unknown variables
✔️ Sum of first ‘n’ terms in an AP
Who Should Watch?
✅ Students preparing for competitive exams
✅ Class 9, 10, 11, and 12 students studying arithmetic sequences
✅ Anyone looking to strengthen their understanding of AP
Questions Covered in the Video:
1️⃣ Find the missing value of ‘k’ in an AP
2️⃣ Solve for unknowns in AP sequences
3️⃣ Identify which sequence is NOT an AP
4️⃣ Find the sum of specific terms in an AP
5️⃣ Calculate the number of multiples within a given range
...and many more!
Watch Now & Boost Your AP Skills!
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ARITHMETIC PROGRESSION ( AP ).
If k + 2, 4k - 6. and 3k - 2 are three consecutive terms of an A.P. then the value of k is:
(a) 3
(b) -3
(c) 4
(d) -4
#If a, b, form an A.P. with common difference d. Then the value of a - 2b - c is equal to
(a) 2a + 4d
(b) 0
(c) 2a 4d
(d) -2a - 3d
The next term of the A.P.: √7, √28, √63 is:
(a) √70
(b) √80
(c) √97
(d) √112
If -5/7, a, 2 are consecutive terms in an Arithmetic Progression, then the value of ‘a’ is
(a) 9/7
(b) 9/14
(c) 19/7
(d) 19/14
#Which of the following is not an A.P?
(a) -1.2, 0.8.2.8, ....
(b) 3, 3+√2, 3+2√2,3 + 3√2,...
(c) 4/3, 7/3, 9/3, 12/3, ...
(d) -1/5, -2/5, -3/5,..
The value of x for which 2x, (x + 10) and (3x + 2) are the three consecutive terms of an A.P, is
(a) 6
(b) -6
(c) 18
(d) -18
#The 21st term of AP whose first two terms are -3 and 4 is:
(a) 17
(b) 137
(c) 143
(d) -143
If a = 10 and d = 10, then first four terms will be:
(a) 10, 30, 50, 60
(b) 10, 20, 30, 40
(c) 10, 15, 20, 25
(d) 10, 18, 20, 30
#11th term of the A.P. -3, -1/2, 2 …. is
(a) 28
(b) 22
(c) -38
(d) -48
Find the value of p, so that (3p + 7), (2p + 5), (2p + 7) are in A.P
(a) 5
(b) -5
(c) 4
(d) -4
For what value of a, are (2a - 1), 7 and 3a three consecutive terms of an A.P?
(a) 6
(b) 3
(c) 2
(d) 8
Solve the equation: 1 + 4 + 7 + 10 + . . . + x = 287
(a) 40
(b) 41
(c) 59
(d) 54
#How many multiples of 4 lie between 10 and 250?
(a) 66
(b) 65
(c) 60
(d) 64
#In an arithmetic progression (AP), if the first term is 2 and the common difference is 4, what is the 7th term of the AP?
a. 22
b. 26
c. 28
d. 30
For an arithmetic progression (AP), if the first term is 10 and the common difference is 3, what is the 15th term?
a. 40
b. 52
c. 50
d. 55
In an AP, if d = –4, n = 7, an = 4, then a is:
(a) 6
(b) 7
(c) 20
(d) 28
#In an AP, if a = 3.5, d = 0, n = 101, then an will be
(a) 0
(b) 3.5
(c) 103.5
(d) 104.5
The 11th term of the AP: –5, (–5/2), 0, 5/2, …is
(a) –20
(b) 20
(c) –30
(d) 30
The first four terms of an AP, whose first term is –2 and the common difference is –2, are
(a) – 2, 0, 2, 4
(b) – 2, 4, – 8, 16
(c) – 2, – 4, – 6, – 8
(d) – 2, – 4, – 8, –16
If the 2nd term of an AP is 13 and the 5th term is 25, what is its 7th term?
(a) 30
(b) 33
(c) 37
(d) 38
If the common difference of an AP is 5, then what is a18 – a13?
(a) 5
(b) 20
(c) 25
(d) 30
If the first term of an AP is –5 and the common difference is 2, then the sum of the first 6 terms is
(a) 0
(b) 5
(c) 6
(d) 15
#The sum of the first 16 terms of the AP: 10, 6, 2,... is
(a) –320
(b) 320
(c) –352
(d) –400
In an AP if a = 1, an = 20 and Sn = 399, then n is
(a) 19
(b) 21
(c) 38
(d) 42
#The sum of the first five multiples of 3 is
(a) 45
(b) 55
(c) 65
(d) 75
For Queries & Doubts: Drop your questions in the comments! We'll be happy to help.
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