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Byju's Answer
Standard X
Mathematics
Common Difference
For the follo...
Question
For the following arithmetic progressions write the first term
a
and the common difference:
−
5
,
−
1
,
3
,
7
,
.
.
.
.
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Solution
Given Arithmetic progression (A.P) is
−
5
,
−
1
,
3
,
7
,
.
.
.
.
.
.
.
.
Hence the first term of the A.P is given by
a
=
−
5
And the common difference of an A.P is given by the difference of two successive terms .
(
i
.
e
.
,
d
=
a
n
+
1
−
a
n
)
Hence by putting n=1 in above expression we get
d
=
a
2
−
a
1
P
u
t
a
1
=
−
5
a
n
d
a
2
=
−
1
d
=
(
−
1
)
−
(
−
5
)
d
=
(
−
1
+
5
)
d
=
4
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Q.
For the following arithmetic progressions write the first term a and the common difference d:
(i) −5, −1, 3, 7, ...
(ii)
1
5
,
3
5
,
5
5
,
7
5
(iii) 0.3, 0.55, 0.80, 1.05, ...
(iv) −1.1, −3.1, −5.1, −7.1, ...