Question

3. For the following APs, write the first term and the common difference:
(1) 3,1,-1,-3, ...
(ii) -5,- 1,3,7,...
1 5 9 13
3 3 3 3
(iv) 0.6, 1.7,2.8,3.9,...

Please tell me the answer with method please.......​

Answer 1

Answer:

1) first term is 3 and common difference is -2

Step-by-step explanation:

In an A.P first term is a and the common difference is a2-a1

Answer 2

Answer:

(1) 3,1,-1,-3,...

First Term=a=3.

Common Difference=d=a2-a1=1-3=-2.

d=a3-a2=-1-3=-4. (Because -×-=+ & largest number is important).

d=a4-a3=-3-(-1)=-3+1=-2. (Because -×+=-). & so on.

(2) -5,-1,3,7,...

First Term =a=-5.

Common Difference=d=a2-a1=-1-(-5)=-1+5=+4.

d=a3-a2=3-(-1)=3+1=4.

d=a4-a3=7-3=4. & so on.

(3) 1,5,9,13,...

First Term=a=1.

Common Difference=d=a2-a1=3-1=2.

d=a3-a2=9-5=4.

d=a4-a3=13-9=4. & so on.

(4) 3,3,3,3,...

First Term=a=3.

Common Difference=d=a2-a1=3-3=0.

d=a3-a2=3-3=0.

d=a4-a3=3-3=0. & so on.

(5) 0.6,1.7,2.8,3.9,...

First Term=a=0.6.

Common Difference=d=a2-a1=1.7-0.6=1.1.

d=a3-a2=2.8-1.7=1.1.

d=a4-a3=3.9-2.8=1.1. & so on.

I think this is your answer.