#### The first three terms of an arithmetic series are k, 7.5 and k + 7 respectively. (b) Find the value of k.

Anonymous

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Anonymous

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Krishna

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Step 1: Calculate the (any variable)p value

[NOTE:The definition of an arithmetic series is that the difference of two

consecutive terms is always constant, (Consecutive terms common difference = another consecutive terms common difference)]

EXAMPLE: p, 5p - 8, 3p+8

(5p - 8) - (p) = (3p + 8) - (5p - 8)

Skill 2: Simplify further.(apply the BODMAS rules)].

[NOTE: Substitute the (any variable) p value in the

given terms and simplify, to get the proper arithmetic series.]