Free Test Sequences and Series – JEE

Q1: What is the sum of the first n natural numbers?

A. n(n+1) B. n(n-1)/2 C. n(n+1)/2 D. n(n+2)/2

Q2: Find the sum of the first 10 terms of the arithmetic progression: 2, 4, 6, ...

A. 100 B. 120 C. 110 D. 130

Q3: What is the nth term of a geometric progression with first term a and common ratio r?

A. ar^n B. ar^(n-1) C. a^n * r D. a*r^(n+1)

Q4: What is the sum of an infinite GP with first term a and common ratio r (|r| < 1)?

A. a/(1+r) B. a/(1-r) C. a*r/(1-r) D. a*r/(1+r)

Q5: What is the 5th term of the AP: 3, 7, 11, ...?

A. 19 B. 21 C. 23 D. 27

Q6: Which of the following is true for an AP?

A. Common ratio is constant B. Sum of terms is constant C. Common difference is constant D. Terms are squared

Q7: If the sum of n terms of a series is Sn = n^2 + 3n, then what is its nth term?

A. 2n+3 B. n+3 C. 2n+1 D. n^2 + 3n

Q8: The sum of the first n even natural numbers is:

A. n^2 B. 2n^2 C. n(n+1) D. 2n

Q9: If a geometric progression has a = 5 and r = 2, find the 4th term.

A. 80 B. 40 C. 60 D. 20

Q10: In AP, if 7th term is 19 and 11th term is 31, what is the common difference?

A. 3 B. 2 C. 4 D. 1.5

Q11: Find the sum of 6 terms of the GP: 1, 2, 4, 8, ...

A. 63 B. 62 C. 64 D. 60

Q12: If the nth term of a sequence is 3n - 2, what type of sequence is it?

A. Arithmetic B. Geometric C. Harmonic D. Fibonacci

Q13: If sum of n terms is Sn = 3n^2 + 5n, find T3.

A. 38 B. 33 C. 34 D. 29

Q14: What is the common ratio in the GP: 5, 10, 20, 40?

A. 5 B. 2 C. 10 D. 4

Q15: If a sequence has constant difference, it is called?

A. Geometric B. Harmonic C. Arithmetic D. None

Q16: Sum of squares of first n natural numbers is:

A. n(n+1)/2 B. n(n+1)(2n+1)/6 C. n^2(n+1)/2 D. 2n(n+1)(n-1)/6

Q17: The sum of n terms of a GP is 255. If a = 1 and r = 2, find n.

A. 7 B. 8 C. 6 D. 5

Q18: Which sequence has reciprocals in AP?

A. AP B. GP C. HP D. None

Q19: If a = 3 and d = 4, find the 10th term of AP.

A. 39 B. 36 C. 40 D. 42

Q20: What is the sum of the first 5 odd numbers?

A. 25 B. 15 C. 30 D. 35

Q21: If in an AP, T1 = 4 and T5 = 20, what is common difference?

A. 4 B. 5 C. 6 D. 3

Quiz for Sequences and Series