Question

write an A.P. whose first term is a and common difference is d in each of the following.
1)a=10,d=5
2)a=-3,d=0
3)a=-7,d=1
2
4)a=-1.25,d=3
5)a=6,d=-3
6)a=-19,d=-4​

Answer 1

Answer:

1)10,15,20,25,30 ...  ...

2)3,3,3,3,3,3,3,.....

3)-7,-6,-5,-4,-3,.......

4)-1.25,1.75,4.75

5)6,3,0,-3,  ....

6)-19,-23,-27,...

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Answer 2

Answer:

Let us suppose n= 3

then

given: a=10,d=5

then a2 = a+ d

= 10+5= 15

a3= a+2d= 10+2(5)

a3 = 10+10=20

then AP series will be a1,a2,a3 = 10,15,20

2)

given: a=-3,d=0

then a2 = a+ d

= -3+0= -3

a3= a+2d= -3+2(0)

a3 = -3

then AP series will be a1,a2,a3 = -3,-3,-3

3)

a=-7,d=1

given: a=-7,d=1

then a2 = a+ d

= -7+1= -6

a3= a+2d= -3+2(0)

a3 = -5

then AP series will be a1,a2,a3 = -7,-6,-5

4)a=-1.25,d=3

given: a=-1.25d=3

then a2 = a+ d

= -1.25+3= 1.75

a3= a+2d= -1.25+2(3)

a3 = 4.75

then AP series will be a1,a2,a3 = -1.25,1.75,4.75

5)

given: a=6d=-3

then a2 = a+ d

= 6+-3= 3

a3= a+2d= 6+2(-3)

a3 = 0

then AP series will be a1,a2,a3 = 6,3,0

6)

given: a=-19,d=-4

then a2 = a+ d

= -19+-4= -23

a3= a+2d=- 19+2(-4)

a3 = -27

then AP series will be a1,a2,a3 =-19,-23,-27

hope it helps ☺️