Question 3:
For the following A.P.s, write the first term and the common difference.
(i) 3, 1, − 1, − 3 … (ii) − 5, − 1, 3, 7 …
(iii) 1/3, 5/3, 9/3, 13/3 …. (iv) 0.6, 1.7, 2.8, 3.9 …
Answer:
(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
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