## General term of an Arithmetic progression - Advance

Formula for the nth term of the A.P. with first term a and common difference d is an = a + (n-1) d. nth term (an) is also called the general term of the AP. If there are 'n' terms in the AP, then an represents the last term which is sometimes also denoted by l.

Q1.  14. If the pth, qth and rth term of an arithmetic sequence are a, b and c respectively, then the value of [a (q – r)+b(r – p)+ c (p – q)]=

•   1
•  -1
•  0
•   1/2

0

Q2.  If nth terms of two A.P.'s are 3n + 8 and 7n +15, then the ratio of their 12th terms will be

•  4/9
•  7/16
•  3/7
•  8/15

4/9/p>

Q3.  The 6th term of an A.P. is equal to 2, the value of the common difference of the A.P. which makes the product a1a4a5 least is given by

•   8/5
•  5/4
•   2/3
•   None of the above

2/3

Q4.  If p times the pth term of an A.P. is equal to q times the q term of an A.P., then (p+q)th term is

•   0
•   1
•  2
•   3

0

Q5.  The numbers t(t2+1), -t2/2 and 6 are three consecutive terms of an A.P. If t be real, then the next two terms of A.P. are

•  –2, –10
•  14, 6
•  14, 22
•  None of these

14, 22

Q6.  The number of common terms to the two sequences 17, 21, 25, ......417 and 16, 21, 26, ..... 466 is

•  21
•   19
•  20
•  91

20

Q7.  In an A.P. first term is 1. If T1T3 + T2T3 is minimum, then common difference is

•   -5/4
•   -4/5
•  5/4
•  4/5

-5/4

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