Kuta Software - Infinite Algebra 2
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Finite Geometric Series
Date________________ Period____
Evaluate the related series of each sequence. 1) 2, 12, 72, 432
2) −1, 5, −25, 125
3) −2, 6, −18, 54, −162
4) −2, −12, −72, −432, −2592
Evaluate each geometric series described. 7
5)
8
Σ4
k−1
6)
Σ (−6)
k=1
i=1
9
7)
9
Σ2
i−1
Σ −2
8)
i=1
9
Σ
2 ⋅ (−2)
n−1
10)
n=1
Σ 4 ⋅ (−3)
Σ4⋅3
n−1
n=1
10
11)
m−1
m=1
8
9)
i−1
9
n−1
12)
n=1
©i q2C0D1w2T NKfuFtHah zSeo7fHtswQafrVeg uLoLaCQ.8 a IAblilS hrDixgDhftUsr 8rVelsRe4rQvCeod6.Q T cMYaDdPek OwkiGtFhi 6IYndfkiRnqictOed 6Atlyg3eObdr5a4 k2B.u
Σ (−2)
n−1
n=1
-1-
Worksheet by Kuta Software LLC
13) 1 + 2 + 4 + 8..., n = 6
14) 2 − 10 + 50 − 250..., n = 8
15) 1 − 4 + 16 − 64..., n = 9
16) −2 − 6 − 18 − 54..., n = 9
17) 1 − 5 + 25 − 125..., n = 7
18) −3 − 6 − 12 − 24..., n = 9
19) a1 = 4, an = 1024, r = −2
20) a1 = 4, an = 8748, r = 3
Determine the number of terms n in each geometric series. 21) a1 = −2, r = 5, S n = −62
22) a1 = 3, r = −3, S n = −60
23) a1 = −3, r = 4, S n = −4095
24) a1 = −3, r = −2, S n = 63
25) −4 + 16 − 64 + 256..., S n = 52428
©l V2D0z1L29 BKxurtyaF IS1okf7tSwQaMroex MLqL1Ct.l n HAWlYli arsi5gthztYsC QrAeOskeIr5vIeMd4.W 0 1MSafdAeS Twfi7tJhL eIvn8fTi4n9iQtveR fA7lLgfePbDrnak F2f.a
n
26)
Σ −2 ⋅ 4
m−1
= −42
m=1
-2-
Worksheet by Kuta Software LLC
