NAME
DATE
PERIOD
Skills Practice
Arithmetic Series
Find Snfor each arithmetic series described.
1. a1 = 1, an- 19, n = 10
2. a~= 5, an= 13, n= 7
3. a~ - 12, an = -23, n = 8
4. al = 7, n = 11, an = 67
5. a1 = 5, n = lO, an = 32
6. a1 = -4, n = lO, an = 22
7. a1--8,d= 5, n- 12
8. a1 = 1, d = 3, n = 15
9. aI = lO0, d = -7, an = 37
lO.a~ = -9, d = 4, a~ = 27
ll.d - 2, n = 26, an - 42
12. d = -12, n = ll, an = 52
Find the sum of each arithmetic series.
13.1+4+7+10+...÷43
14.5+8+ 11+ 14+... +32
15.3+5+7+9+...+19
16. -2 + (-5) + (-8) + ... + (20)
5
17. ~ (2n - 3)
18
18. Z (10 + 3n)
19. Z (4n + 1)
20. Z (4 3n)
Find the first three terms of each arithmetic series described.
~
21. a1 = 4, an = 31, Sn = 175
22. aI = -3, an = 41, Sn = 228
23. n = lO, an = 41, Sn = 230
24. n = 19, a~ = 85, S~ = 760
© Glencoe/McGraw-Hill
639
Glencoe Algebra 2
PERIOD
DATE
NAME
Practice
Arithmetic Series
Find Sn for each arithmetic series described.
1. a1 = 16, an - 98, n - 13
2. a1 - 3, an - 36, n = 12
3. a1 = -5, an = -26, n- 8
4. a1 - 5, n - lO, an - 13
5. a1 - 6, n = 15, an = 22
6. aI = -20, n = 25, an = 148
7. a1 = 13, d - -6, n = 21
8. a1 =5, d-4, n= 11
10. a1 - -121, d - 3, an = 5
9. a1= 5, d=2, an=33
12. d -
11. d=0.4, n= 10, an=3.8
2
3,n = 16, an - 44
Find the sum of each arithmetic series.
13.5+7+9+11+...+27
14. -4+ 1+6+ 11+... +91
15. 13+20 +27+... +272
16. 89+ 86+83+80÷... +20
4
17.~(1 - 2n)
6
n=l
10
20. ~, (2k + 1)
5
19. ~(9 4n)
18. ~(5 + 3n)
j=l
n=l
8
101
21. ~ (5n - 10)
k=4
22. ~, (4 - 4n)
n=3
n=l
Find the first three terms of each arithmetic series described.
23. a1 = 14, an = -85, Sn = 1207
24. aI = 1, an = 19, Sn = 100
25. n = 16, an = 15, Sn = -120
4
26. n = 15, an = 5~, Sn = 45
27. STACKING A health club rolls its towels and stacks them in layers on a shelf. Each
layer of towels has one less towel than the layer below it. If there are 20 towels on the
bottom layer and one towel on the top layer, how many towels are stacked on the shelf?.
28. BUSINESS A merchant places $1 in a jackpot on August 1, then draws the name of a
regular customer. If the customer is present, he or she wins the $1 in the jackpot. If the
customer is not present, the merchant adds $2 to the jackpot on August 2 and draws
another name. Each day the merchant adds an amount equal to the day of the month. If
the first person to win the jackpot wins $496, on what day of the month was her or his
name drawn?
© Glencoe/McGraw-Hill
640
Glencoe Algebra 2
NAME
DATE
NAME
Practice
Skills Practice
Arithmetic Series
Arithmetic Series
Find Sn for each aritb~netic series described.
Find Sn for each aritl~aetic series descrlbed~
4. a1 = 7, n - ll, an - 67
6. a1- 4, n- 10, an-
6. a1= 20,~ = 25, an = 148
22
8. a1 - 1, d = 3, n - 15
10. al- 9, d=4, an-27
14. 4+1+6+1i+...+91
12. d- -12, n = !1~an- -52
16.89+86+83+80+...+20
1B. 13 +20 +27 + ... + 272
17.~(1 - 2n)
18.~(5 + 3n)
20. ~ (2k + 1)
21.~(5n
19, Z(9 -
Find the s~ of each aritl~netic series.
13.1+4+7+10+-.+43
14.5+8+11+14+...+32
15.3+5+7+9+_.+19
16. 2+(-5)+( 8)~...+(20)
25. n = 16, a~,= 15, S,~= 120
i0)
22. (4 4n)
26. n = 15, a~= 5~,Sn=45
20. ~
27. 5TA~K]N~ A health club roils its towels and stacks them in layers on a she]£ Each
]ayer o~ towels has one less towel thma the layer below it. If there are 20 towels on the
bottom layer and o~ towel on the top layer, how raany towels are stacked on the
23. n = 10, a, = 4~,8,, = 230
28. BUSINESS A merchant places $1 in a jackpot on August 1, then draws the name of a
regtflar customer, If the customer is present, he or she w~ns the $1 in the jackpot, If the
customer is not present, the merchant adds $2 to the jack-pot on August 2 and draws
another name. Each day the merchant adds an amount equal to the day of the month. If
the f~’sl person to win the jackpot w~s $496, on what day of the month was her or l~s
24. n = 19, a~ = 85, Sn = 760
Glencoe Algebra 2