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Question

Find $$a, b$$ such that $$18, a, b, -3$$ are in $$AP$$ 


Solution

Formula,

$$a_n=a+(n-1)d$$

Given,

$$a_4=18+(4-1)d$$

$$-3=18+3d$$

$$\therefore d=-7$$

$$a=18+d=18-7=11$$

$$b=a+d=11-7=4$$

Mathematics

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