Q1. The first negative term of the sequence 114, 109, 104
............ is when
n
= 21
n
= 22
n
= 23
n
= 24
Q2. The common difference of the A.P for which 20th term is
10 more than the 18th term is :
3
2
10
5
Q3. An AP has first term 1 with a common difference also 1
and has 49 as its last term. Find its sum. 1,2,3,4 ........49
1221
1225
1232
1242
Q4. In an AP, the two consecutive terms are (2n+3) and
(2n+5). Find the common difference of the AP.
2n+2
2
1
4
Q5. The weights of 11 students selected for a team are noted
in ascending order and are in A. P. The lowest value is 45 Kg, and the middle
value is 55 Kg. What is the difference between the two values placed
consecutively ?
4
3
2
6
Q6. From an A.P., 5 consecutive terms are required to be
written. The central term out of the five terms is given as 5 and it’s informed
that the common difference of the A.P. is 4. Write the 5 terms in the correct
sequence.
-10,
- 5, 5, 10, 15
-
3, 1, 5, 9, 13
1,
3, 5, 7, 9
3,
4, 5, 6, 7
Q7. If mtimesthe mthterm of an AP is equal to n
times the nthterm and m ≠ n, then (m + n)th term is
m
n
m
+ n
None
of these
Q8. Find ‘p’ so that p + 3, 4p - 5, 3p - 1 are in A.P.
2
4
3
5
Q9. If a - b, 0 and a + b are consecutive terms of an AP,
then
a
= 0 and b = 1
a
= 1 and b = 0
a
can take any real value and b = 0
a
= 0 and b can take any real value
Q10. What is the sum of the first 50 multiples of 3?
3255
3825
4325
4455
Q11. The number of two digit numbers divisible by 5 is
16
19
18
17
Q12. Which term of the following A.P. would be 0?
36,33,30,27….
10
12
13
9
Q13. For an A.P the sum of first 30 terms is -1155, the
common difference is -3 and the thirtieth term is -82. What is the first term?
10
12
8
5
Q14. In an A.P. the value of the common difference d is
Always positive
Always negative
can be postive, negative or zero
Always a natural number
Q15. Find the sum of the first 10 natural numbers.
54
55
56
57
Q16. Find the sum of 30 terms of the AP 1, 4, 7, 10,…
1129
1219
1191
1335
Q17. The 5th term of an A.P. is 18, the common difference is
2. What is the first term ?
10
12
14
16
Q18. The common difference and the next two terms of the A.P
are.... 75, 67, 59, 51,……
-8,
43, 35
10,
30,40
2,
3,5
3,
6,9
Q19. The sum of the first n terms of an A.P. is 2235. The
first term is 2 and the common difference is 5. What is n =?
25
30
45
40
Q20. An AP has first term -3 and a common difference -1. Find
the 3rd term of the A.P.
-
1
-
5
5
-
7
Q21. Find three sides of a right triangle which form an A.P.
whose sum is 24.
3,
4, 5
6,
8, 10
5,
8, 11
3,
9, 12
Q22. The 9th term of an AP is 449 and 449th term
is 9. The term which is eQual to zero is
501th
502th
458th
459th
Q23. The common difference of the AP for which 20th term
is 10 more than the 18th term is:
5
10
2
3
Q24. Given an A.P. few of whose terms are x, y, 2, 4, 6,
8,.......... What must be the values of x and y?
x
= - 4, y = 2
x
= - 2, y = 0
x
= 0, y = - 2
x
= 2, y = - 4
Q25. Which term of the A.P 10,8,6,… will be the first
negative term?
4
7
6
5
Q26. If p - 1, p + 3, 3p - 1 are in A.P., then p is equal to:
4
-
4
2
-
2
Q27. 20th term from the end of the A.P. 3, 8,
13, 18,....,253 is
124
158
164
112
Q28. In an A.P. the two consecutive terms are (2n+3) and
(2n+5). Find the common difference of the A.P.
1
2
8
-2
Q29. Find the sum of 1+ 4 + 7 + 10 + 13 + …40.
160
262
287
166
Q30. In the given AP, 210 is which term of
AP, 2,6,10........?
50th
52nd
53rd
54th
Q31. The first term of an A.P. is 12, the last term is - 8,
the common difference is - 2. Find the sum of the A.P.
16
18
22
20
Q32. If the 4th term is twice the 8th term and the 10th term
is twice the nth term. Then, what is the value of n?
12
11
10
13
Q33. Which term of A.P. 5, 13, 21, is 189?
21
22
23
24
Q34. The nth term of the AP 9, 13, 17, 21,
25, .............. is:
4n
+ 5
4n
- 5
3n
+ 2
5n
+ 3
Q35. Ramesh’s salary in February 2008 is Rs. 10,000. If he’s
promised an increase of Rs. 1000 every year, what would be his salary in Feb
2011?
Rs.
12,000
Rs.
13,000
Rs.
14,000
Rs.
15,000
Q36. Find the next two terms of the A.P. -10, -6, -2…
2,
6
4,
8
-4,
- 8
6,
10
Q37. An athlete wants to improve his stamina, so he decides
to increase the distance he runs by half a kilometer every day. If he starts
with 5 km on first day, find how much he runs on the 10th day.
6
Km
7.5
Km
9.5
Km
10
Km
Q38. Find the sum of the following arithmetic series: −2, −4,
−6,…, −100
2550
−2550
1254
−1254
Q39. The 8th term of 117, 104, 91, 78,
…….is….
27
17
4
26
Q40. Find the sum of the AP −26, −24, −22,…to the 36th
term.
123
324
144
322
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