This set of MCQs deals with the study of sequences and series, one of the basic concepts in Arithmetic. Sequences are the grouped arrangement of numbers orderly and according to some specific rules, whereas a series is the sum of the elements in the sequence.
What is nth term of an A.P.?
If an A.P. is 3,5,7,9……. Find the 12th term of the A.P.
If 3rd term of an A.P. is 6 and 5th term of that A.P. is 12. Then find the 21st term of that A.P.
2) + (1/2.3) + (1/3.4) + …… is
If the sum of the first 2n terms of the A.P. 2, 5, 8, ….., is equal to the sum of the first n terms of the A.P. 57, 59, 61, ….., then n equals
A sequence is called ___________________ if an+1 = an + d.
Arithmetic progression
Geometric Progression
Harmonic Progression
Special Progression
If a, b, c are in AP, then
b = a + c
2b = a + c
b² = a + c
2b² = a + c
If a is the A.M. of b and c and G1 and G2 are two GM between them, then, the sum of their cubes is
abc
2abc
3abc
4abc
If the middle term is doubled, then the new numbers are in Ap. The common ratio of GP, is
2 + √3
2 – √3
2 ± √3
None of these
If sum of n terms of an A.P. is n2+5n then find general term.
n+1
3+4n
3n
n2+3n