# Sequences and Series

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.

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What is nth term of an A.P.?

an = a + (n-1) d an = a + (n) d an = a*rn-1 an = a*rn

If an A.P. is 3,5,7,9……. Find the 12th term of the A.P.

12 21 22 25

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.

40 42 60 63

2) + (1/2.3) + (1/3.4) + …… is

n/(n+1) 1/(n+1) 1/n None of these

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

10 12 11 13

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

Quiz/Test Summary
Title: Sequences and Series
Questions: 10
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