Download Extra practice for series and sum notation and more Exercises Mathematics in PDF only on Docsity!
©q t 2 f 0 r 1 ] 7 b dKfubtRaL mS_oJfrtBwjanrCeA oLfLwCw.y IAclElJ yriag^hPtNsE JrheRscexrTvBeTdg.x E fMGaWdOe_ owhistOhH LIznQfRignTirtqeG TAvlag[eibdryaX T 2 e. Worksheet by Kuta Software LLC Algebra 2
Extra Practice: Series and Summation Notation
Name___________________________________ ID: 1 Date________________ Block____ ©I c 2 d 0 U 1 J 7 J UKNuJtoaG tScokfLtgwAaUrweH DLELtCE.x [ fA_lmlX yrfiSgGhHtfsw kr]ecsGeerLvjeidp. Rewrite each series as a sum.
1) S
k = 4 8 k k + 1
2) S
a = 2 7 210 a
3) S
k = 2 5 k^2 + 1 k
4) S
n = 2 7
( 400 - n^2 )
5) S
m = 1 6 1 5 m
6) S
n = 0 3
n ( n + 1 )
7) S
k = 1 4 270 k
8) S
k = 2 7 k^2
9) S
k = 3 8
( 100 - k ) 10) S
k = 5 9 k^2 + 1 k Evaluate each series.
11) S
a = 5 11
a^2 12) S
m = 1 5 7 m
13) S
m = 1 6
m ( m - 2 )^ 14) S
n = 0 5
n ( n - 2 )
15) S
k = 0 4
( 40 - k^2 ) 16) S
m = 5 11
( 2 m^2 - 2 )
17) S
k = 0 6
( 100 - k^2 ) 18) S
k = 0 5 2 k
19) S
a = 4 10
( 4 a^2 - 4 ) 20) S
m = 4 10 180 m Rewrite each series using sigma notation.
- 0 + 3 + 6 + 9
- 6 + 3 + 2 +
©_ 2 ^ 0 a 1 C 7 ] vKzuatpan hSOoEf[tPwMamrzeNLzLACY.o ` IAslxlT qrZiMgbhNtSsn urxeosweirdvleJdn.l F PMqaGdPeJ owgiktQhN tIvngfHiHnfiSteek PAflEgLeVb[raaI g 2 S. Worksheet by Kuta Software LLC Algebra 2
Extra Practice: Series and Summation Notation
Name___________________________________ ID: 1 Date________________ Block____ ©v F 2 u 0 K 1 q 7 q EKjuIttaB sSMoGfatCwRaMr_ev rLjL]Cc.\ [ iA_l^lQ ErHiag^hptvsI [rCeSsueMrpvWeMdq. Rewrite each series as a sum.
1) S
k = 4 8 k k + 1
2) S
a = 2 7 210 a
3) S
k = 2 5 k^2 + 1 k
4) S
n = 2 7
( 400 - n^2 ) 396 + 391 + 384 + 375 + 364 + 351
5) S
m = 1 6 1 5 m
6) S
n = 0 3
n ( n + 1 )^0 + 2 + 6 + 12
7) S
k = 1 4 270 k
8) S
k = 2 7 k^2 4 + 9 + 16 + 25 + 36 + 49
9) S
k = 3 8
( 100 - k ) 97 + 96 + 95 + 94 + 93 + 92 10) S
k = 5 9 k^2 + 1 k
Evaluate each series.
11) S
a = 5 11
a^2 476 12) S
m = 1 5 7 m
13) S
m = 1 6
m ( m - 2 )^49 14) S
n = 0 5
n ( n - 2 )^25
15) S
k = 0 4
( 40 - k^2 ) 170 16) S
m = 5 11
( 2 m^2 - 2 ) 938
17) S
k = 0 6
( 100 - k^2 ) 609 18) S
k = 0 5 2 k 30
19) S
a = 4 10
( 4 a^2 - 4 ) 1456 20) S
m = 4 10 180 m
Rewrite each series using sigma notation.
21) 0 + 3 + 6 + 9 S
n = 0 3 3 n
- 6 + 3 + 2 +
2 m S = 1
4 6 m
23) 1 + 2 + 3 + 4 + 5 + 6 S
a = 1 6
a 24) 0 + 5 + 10 + 15 S
a = 0 3 5 a
S
n = 3 6 1 5 n
S
m = 2 5 8 m
- 8 + 4 +
+ 2 S
k = 1 4 8 k
S
a = 3 6 a a + 1
6 m S = 1
5 m m + 1
30) 0 + 2 + 4 + 6 S
k = 0 3 2 k
