Sequence and Series - Level 1 (Foundation)
- IIMwalaBanda
- Aug 10
- 2 min read
Updated: Aug 17
1. Find the 10th term of the AP: 3, 7, 11, 15, ... (F)
(a) 35
(b) 37
(c) 39
(d) 41
2. Find the sum of the first 20 terms of the AP: 2, 5, 8, 11, ... (F)
(a) 590
(b) 600
(c) 610
(d) 620
3. Find the 6th term of the GP: 2, 6, 18, 54, ... (F)
(a) 450
(b) 468
(c) 486
(d) 500
4. Find the sum of the GP 3, 6, 12, 24, ... up to 6 terms. (F)
(a) 180
(b) 185
(c) 189
(d) 195
5. The sum of the first n natural numbers is 210. Find n. (F)
(a) 18
(b) 19
(c) 20
(d) 21
6. Find the sum of the squares of the first 10 natural numbers. (F)
(a) 350
(b) 370
(c) 385
(d) 400
7. If a, b, c are in AP, find a + c in terms of b. (F)
(a) b
(b) 2b
(c) b/2
(d) 3b
8. Find the arithmetic mean of 7 and 23. (F)
(a) 12
(b) 13
(c) 15
(d) 17
9. Find the geometric mean of 4 and 16. (F)
(a) 6
(b) 8
(c) 10
(d) 12
10. The 5th term of an AP is 23 and the 9th term is 39. Find the common difference. (F)
(a) 3
(b) 3.5
(c) 4
(d) 4.5
11. Find the sum to infinity of the GP: 8, 4, 2, 1, ... (F)
(a) 14
(b) 15
(c) 16
(d) 18
12. Find the number of terms in the AP: 5, 9, 13, ..., 101. (F)
(a) 22
(b) 23
(c) 24
(d) 25
13. Find the sum of the first 15 terms of an AP whose first term is 4 and common difference is 3. (F)
(a) 350
(b) 360
(c) 375
(d) 390
14. If the sum of the first n terms of a series is Sₙ = 3n² + 2n, find the 4th term. (F)
(a) 20
(b) 21
(c) 23
(d) 25
15. Find the sum of the first 8 terms of the GP: 1, −2, 4, −8, ... (F)
(a) −80
(b) −85
(c) −90
(d) −95
16. The 3rd and 6th terms of a GP are 20 and 160. Find the common ratio. (F)
(a) 1.5
(b) 2
(c) 2.5
(d) 3
17. Find the sum of all multiples of 7 between 1 and 200. (F)
(a) 2,700
(b) 2,800
(c) 2,842
(d) 2,900
18. Find the harmonic mean of 4 and 6. (F)
(a) 4.5
(b) 4.8
(c) 5
(d) 5.2
Scroll to the bottom for answer key and refer embedded video page for solution or visit @iimwalabanda YouTube page
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