for the following APs write the first term and the common difference
Answers
(i) 3, 1, - 1, - 3 …
Here, first term, a = 3
Common difference, d = Second term - First term
= 1 - 3 = - 2
(ii) - 5, - 1, 3, 7 …
Here, first term, a = - 5
Common difference, d = Second term - First term
= ( - 1) - ( - 5) = - 1 + 5 = 4
(iii) 1/3, 5/3, 9/3, 13/3 ....
Here, first term, a = 1/3
Common difference, d = Second term - First term
= 5/3 - 1/3 = 4/3
(iv) 0.6, 1.7, 2.8, 3.9 …
Here, first term, a = 0.6
Common difference, d = Second term - First term
= 1.7 - 0.6
= 1.1
FORMULA TO BE IMPLEMENTED
If
is an Arithmetic Progression
Then First Term = a
Second Term = a + d
Common Difference
= Second Term - First Term = (a + d) - a = d
CALCULATION
I.
The give Arithmetic Progression is
3, 1, - 1, - 3,........
Then First Term = 3
Second Term = 1
Common Difference
= Second Term - First Term = 1 - 3 = - 2
II.
The give Arithmetic Progression is
-5 , - 1, 3 , 7 ,........
Then First Term = - 5
Second Term = - 1
Common Difference
= Second Term - First Term
= - 1-(-5) = - 1 + 5 = 4
III.
The give Arithmetic Progression is
Then First Term =
Second Term =
Common Difference
= Second Term - First Term =
IV
The give Arithmetic Progression is
0.6 , 1.7 , 2.8 , 3.9 ,........
Then First Term = 0.6
Second Term = 1.7
Common Difference
= Second Term - First Term = 1.7 - 0.6 = 1.1