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Question
Show that the progression given below is an AP. Find the first term, common difference and next term.
`-1, (-5)/6, (-2)/3, (-1)/2`, ....
Sum
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Solution
The given progression `-1, (-5)/6, (-2)/3, (-1)/2`, ....
Clearly, `(-5)/6 - (-1) = (-2)/3 - ((-5)/6)`
= `(-1)/2- ((-2)/3)`
= `1/6` ...(Constant)
Thus, each term differs from its preceding term by `1/6`.
So, the given progression is an AP.
First term = –1
Common difference = `1/6`
Next term of the AP = `(-1)/2 + 1/6`
= `(-2)/6`
= `(-1)/3`
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Chapter 5: Arithmetic Progression - EXERCISE 5A [Page 260]
