Which of these are Arithmetic Progressions and why?(a) 2, 3, 5, 7, 8, 10, 15, ......
(b) 2, 5, 7, 10, 12, 15, ......(c) -1, -3, -5, -7, ......
priyanshu1940:
question no. a is not AP common difference not same
A and B is not AP but C is AP
Answers
Answered by
62
♥️Hi there ♥️
a) Let a and d be the first term and common difference .
2, 3 , 5 ,7 ,8 , 10 ,15...
a= 2
d= a2 - a
=3- 2= 1
a3- a2
= 5 -3 = 2
a4 - a3
7- 5= 2
a7- a6
= 15- 10 =5
No it not a arithmetic progression as common difference is not common in all.
b) 2, 5, 7, 10, 12, 15, .....
a = 2
d = 5-2= 3
7-5=3
Its form an A.P as d is common here.
c) -1, -3, -5, -7, .
a= -1
d = -3 +1 =-2
It's also form an A.P
Thank ☺️!!
a) Let a and d be the first term and common difference .
2, 3 , 5 ,7 ,8 , 10 ,15...
a= 2
d= a2 - a
=3- 2= 1
a3- a2
= 5 -3 = 2
a4 - a3
7- 5= 2
a7- a6
= 15- 10 =5
No it not a arithmetic progression as common difference is not common in all.
b) 2, 5, 7, 10, 12, 15, .....
a = 2
d = 5-2= 3
7-5=3
Its form an A.P as d is common here.
c) -1, -3, -5, -7, .
a= -1
d = -3 +1 =-2
It's also form an A.P
Thank ☺️!!
Answered by
26
Answer:
2,3,5,7,8,10,15....
Step-by-step explanation:
D=a2-a1
= 3-2
=1
D=a3-a2
=5-3
=2
D=a4-a3
=7-5
=2
D=a5-a4
=8-7
=1
D=a6-a5
=10-8
=2
D = a7-a6
=15-10
=5
Therefore it is not an ARITHMETIC PROGRESSION.
2. 2,5,7,10,12,15...
D=a2-a1
=5-2
=3
D=a3-a2
=7-5
=2
D=a4-a3
= 10-7
=3
D=a5-a4
=12-10
=2
Therefore, It is not ARITHMETIC PROGRESSION.
3. - 1,-3,-5,-7
D=a2-a1
= -3+1
= -2
D=a3-a2
= - 5+3
= - 5+3
= - 2
D= a4-a3
= - 7+5
= - 2
Therefore, It is ARITHMETIC PROGRESSION.
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