# Workman - shift

The worker produces 300 components per shift. How many components would be produced in 18 shift, if his performance gradually increased every shift by 3 components?

Result

x =  5859

#### Solution:

$a_1 = 300 \ \\ a_{ 18 } = a_1 + (18-1)d = 300 + (18-1)\cdot 3 = 351 \ \\ x = s_{ 18 } = \dfrac{a_1+a_{ 18}}{2} \cdot 18 = \dfrac{ 300+ 351 }{2} \cdot 18 = 5859$

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