Write common difference of arithmetic progression of (A.P)4,2,0,-2______
Answers
Answer:
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Step-by-step explanation:
iven A.P is,
0,
4
1
,
2
1
,
4
3
…
first term of this A.P is a
1
=0
second term of this A.P is a
2
=
4
1
third term of this A.P is a
3
=
2
1
fourth term of this A.P is a
4
=
4
3
common difference of an A.P is (i.e.,d=a
n+1
−a
n
)
putting n=1 in above equation
d=a
2
−a
1
=
4
1
−0=
4
1
hence,
common difference d=
4
1
we know that nth term of an A.P is given by
a
n
=a
1
+(n−1)d
⟹a
n
=0+(n−1)
4
1
⟹a
n
=
4
1
n−
4
1
or
⟹a
n
=
4
n−1
…..eq(1)
for finding next two terms
for 5th term a
5
put n=5 in eq(1)
⟹a
5
=
4
5−1
⟹a
5
=
4
4
⟹a
5
=1
for 6th term a
6
put n=6 in eq(1)
⟹a
6
=
4
6−1
⟹a
6
=
4
5
Answer:
The common difference is -2