Question

find the missing term in the arithmetic sequence -6,_,8,...?

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Answer 1

Answer:

-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7

Answer 2

Given: The arithmetic sequence -6,_,8,...

To find: The missing term in the arithmetic sequence.

Solution:

• An arithmetic sequence is a sequence in which every consecutive term has a common difference between them.

• According to the properties of arithmetic sequences,

        $b = \frac{a+c}{2}$

• Here, a, b and c are the consecutive terms of the arithmetic sequence.
• On replacing the terms with the values given in the question, the obtained equation is,

        $b = \frac{-6+8}{2}$

• On solving further, the missing term is found to be,

        $\frac{-6+8}{2} = 1$

Therefore, the missing term in the arithmetic sequence -6,_,8,... is 1.