If a=3 , d=5 write the A.P. upto four terms.
Answers
Answer:
my dear friend your answer is
Step-by-step explanation:
Given A.P is
1,−2,−5,−8,....
hence the common difference is given by d=a
n+1
−a
n
by putting n=1 in above equation
d=a
2
−a
1
=(−2)−(1)
d=(−2−1)
d=−3
first term of this A.P is
a
1
=1
the nth term of this A.P is given by
a
n
=a
1
+(n−1)d
⟹a
n
=1+(n−1)(−3)
⟹a
n
=1−3n+3
⟹a
n
=4−3n….eq(1)
finding next four terms of A.P
1) for finding the 5th term of sequence (a
5
) put n=5 in eq(1)
⟹a
5
=4−3×5
⟹a
5
=4−15
⟹a
5
=−11
2) for finding the 6th term of sequence (a
6
) put n=6 in eq(1)
⟹a
6
=4−3×6
⟹a
6
=4−18
⟹a
6
=−14
3) for finding the 7th term of sequence (a
7
) put n=7 in eq(1)
⟹a
7
=4−3×7
⟹a
7
=4−21
⟹a
7
=−17
4) for finding the 8th term of sequence (a
8
) put n=8 in eq(1)
⟹a
8
=4−3×8
⟹a
8
=4−24
⟹a
8
=−20
Answer:
3,8,13,18......
Step-by-step explanation:
first term=a=3
2nd term=a+d=3+5=8
3rd term=a+2d=3+2*5=3+10=13
4th term=a+3d=3+3*5=3+15=18