For the AP : 3/2, 1/2, – 1/2, – 3/2 , . . ., write the first term a and the common difference d.
Answers
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Step-by-step explanation:
First term =a=3/2
Commom difference=d=difference between 2nd and1st term
d=1/2-3/2
d=1-3/2=-2/2=-1
a=3/2
d=-1
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Given,
A term in AP 3/2, 1/2, -1/2, -3/2...
To find,
The first term (a) and the common difference (d).
Solution,
The first term ( a) of the given Arithmetic Progression is 3/2.
- If b1, b2 ,b3, b4 are in Arithmetic Progression the common difference is calculated by b2-b1, b3-b2, b4-b3.
- Therefore, the common difference of the Arithmetic Progression 3/2, 1/2, -1/2, -3/2... is-
⇒ 1/2 -(3/2) = -1, -1/2 -(1/2) = -1
Hence, the common difference (d) of the given Arithmetic Progression is -1.
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