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College Algebra & Trigonometry, 2018a

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6.3. SERIES 297<br />

Exercises 6.3<br />

Write out each series in expanded notation.<br />

1)<br />

∑10<br />

2k − 5 2)<br />

7∑<br />

6k − 3 3)<br />

9∑<br />

( ) 1<br />

(−1) k k<br />

k=1<br />

k=3<br />

k=2<br />

4)<br />

∑10<br />

k=0<br />

(−1) k+1 (k − 4) 5)<br />

4∑<br />

k=0<br />

k 2<br />

2<br />

6)<br />

8∑<br />

k=1<br />

k<br />

3 k<br />

Write each series using sigma notation.<br />

7) 8+12+16+20+24+28 8) 5+10+15+20+25+30<br />

9) 2+9+16+23+···+65 10) 5+8+11+14+···+95<br />

11) 1+4+9+16+···+ 256 12) 1+8+27+64+···+ 1331<br />

13) 1 − 1 2 + 1 4 − 1 8 + 1<br />

16 − 1<br />

32<br />

14) 27 − 9+3− 1+ 1 3 − 1 9

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