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Arithmetic Progressions
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31/05/2021 10:19 am
Topic starter
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 …
1 Answer
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31/05/2021 10:22 am
(i) Given series,
3, 1, – 1, – 3 …
First term, a = 3
Common difference, d = Second term – First term
= 1 – 3 = -2
= d = -2
(ii) Given series, – 5, – 1, 3, 7 …
First term, a = -5
Common difference, d = Second term – First term
= (– 1)-(– 5)
= – 1+5 = 4
(iii) Given series, 1/3, 5/3, 9/3, 13/3 ….
First term, a = 1/3
Common difference, d = Second term – First term
= 5/3 – 1/3
= 4/3
(iv) Given series, 0.6, 1.7, 2.8, 3.9 …
First term, a = 0.6
Common difference, d = Second term – First term
= 1.7 – 0.6
= 1.1