Could anyone please explain to me how to approach this question? : "Three consecutive terms of an arithmetic series are 4x+11, 2x+11 and 3x+17. Find the value of x."   I've tried to solve it, but I ended up getting pretty confused.

Expert Answers

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You should remember the relation between three consecutive terms of an arithmetic series such that:

`2x + 11 = ((4x + 11) + (3x + 17))/2`

You need to multiply both sides by 2 such that:

`4x + 22 = 4x + 11 + 3x + 17`

Reducing like terms both sides yields:

`22 = 3x + 28 =gt 3x = 22 - 28 =gt 3x = -6`

`x = -6/3`

`x = -2`

Hence, evaluating x under given conditions yields x = -2.

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