MCQs UNIT I - Indices, Logarithm, AP & GP
MCQs UNIT I - Indices, Logarithm, AP & GP
MCQs UNIT I - Indices, Logarithm, AP & GP
2. Evaluate (1 ⁄ 64)^(-1⁄3)
(a) 4^-1 (b) 4 (c) 2^-1 (d) 2
3. Logarithm to base 10 of 1000 is:
(a) 1 (b) 2 (c) 3 (d) 4
13. -2,1,4,7,… is
(a) harmonic sequence (b) arithmetic sequence (c) geometric sequence (d) arithmetic series
14. The nth term of G.P. is
𝑛 𝒏−𝟏
(a) 𝑎𝑟 (b) 𝒂𝒓 (c) 𝑎𝑟 −𝑛 (d) 𝑎𝑟 𝑛+1
15. 3,6,12,… is
(a) A.P (b) G.P (c) H.P (d) none of
these
18. If a1 , r are the first term and the common ratio respectively then the sum of infinite
geometric series is
𝑎 𝒂 𝑎 𝑎
(a) | r |< 1 (b) | r | >1 (c) | r | <1 (d) |r|>1
𝑟−1 𝒓−𝟏 𝑟+1 𝑟+1
19. The sum of the infinite geometric series does not exist if
(a) | r | < 1 (b) | r | > 1 (c) r = 1 (d) r = -1
20. ∑𝑛
𝑘=1 𝑘
2
21. ∑𝑛
𝑘=1 𝑘
3
22. ∑𝑛
𝑘=1 𝑘
23. The 6th term of the arithmetic sequence whose 1st term is 3 and common
difference is zero is (a) 18 (b) 6 (c) 3
(d) 0
27. Write the first four terms of the arithmetic sequence if a1 5 and other three consecutive
terms are 23,26,29
(a) 23,26,29,32 (b) 5,8,11,14 (c) 8,11,14,17 (d) none of these