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a) Substitute given numbers into the arithmetic sequence formula

Recognize following sequence: 4,7,10

u_{2}-u_{1} = d 

7-4=3

Find arithmetic sequence formula

u_{n}= 4 + (n-1) 3

901 = 4 + (n-1) 3

Solve for n

897 = 3(n-1)

299 = (n-1)

300 = n



b) S_{300} = \frac{901+4}{2} \times 300

905 \times 150

135750

Explanations

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