Problems for Practice (3.1)
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1. Which of the following sequences are A.P.? If they are A.P. find the common difference.
1. 1, 3, 5, 7, ...
Answer:
This is an A.P. and
d
= 2
1 Mark
2. 9, 7, 5, 3, ...
Answer:
This is an A.P. and
d
= − 2
1 Mark
3. 0, 3, 7, 13, ...
Answer:
This is not an A.P.
1 Mark
4. 0,
1
2
, 1,
3
2
, ...
Answer:
This is an A.P. and
d
=
1
2
1 Mark
5. 1,
4
3
,
5
3
, 2, ...
Answer:
This is an A.P. and
d
=
1
3
1 Mark
2. Write first four terms of an A. P. whose first term is
a
and common difference is
d
:
1.
a
= 11,
d
= 2
Answer:
11, 13, 15, 17
2 Marks
March 20
2.
a
= 12,
d
= 4
Answer:
12, 16, 20, 24
2 Marks
3.
a
= 100,
d
= 100
Answer:
100, 200, 300, 400
1 Mark
4.
a
= 0,
d
= 0
Answer:
0, 0, 0, 0
1 Mark
5.
a
= 3,
d
=
2
5
Answer:
3,
17
5
,
19
5
,
21
5
3 Marks
3. Write the first term and common difference for each of the following A.P.:
1. 4, 0, − 4, − 8, ...
Answer:
a
= 4,
d
= − 4
1 Mark
2. 0.09, 0.12, 0.15, 0.18, ...
Answer:
a
= 0.09,
d
= − 0.03
2 Marks
3. 1,
8
7
,
9
7
,
10
7
, ...
Answer:
a
= 1,
d
=
1
7
2 Marks
4. 0, 0, 0, 0
Answer:
a
= 0,
d
= 0
1 Mark
5.
-
1
3
,
-
2
3
,
-
1
,
-
4
3
Answer:
a
=
-
1
3
,
d
=
-
1
3
2 Marks
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This page was last modified on
19 March 2021 at 12:39