Comparing Arithmetic and Geometric Sequences - Kuta Software
Comparing Arithmetic and Geometric Sequences - Kuta Software
Comparing Arithmetic and Geometric Sequences - Kuta Software
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-1-<br />
©Q c2m0U122y LKLu9tbaH ySIorfatVw7awr seI bLfLpCe.h h aAglylR KrNiIgihFtUsR orVeGsuegrJv3eNds.v N WMoaNd5en rw1i3tfht kIwnbfXiSnOittPe5 LAIlYgJeebCrWae X2K.b Worksheet by <strong>Kuta</strong> <strong>Software</strong> LLC<br />
<strong>Kuta</strong> <strong>Software</strong> - Infinite Algebra 2<br />
Name___________________________________<br />
<strong>Comparing</strong> <strong>Arithmetic</strong> <strong>and</strong> <strong>Geometric</strong> <strong>Sequences</strong><br />
For each sequence, state if it is arithmetic, geometric, or neither.<br />
1) 1, 3, 6, 10, 15, ... 2) 40, 43, 46, 49, 52, ...<br />
Date________________ Period____<br />
3) 4, 13<br />
3 , 14 16<br />
, 5,<br />
3 3 , ... 4) −4, 12, −36, 108, −324, ...<br />
5) 4, 16, 36, 64, 100, ... 6) −29, −34, −39, −44, −49, ...<br />
7) 1, 5, 25, 125, 625, ... 8) 1, 4, 9, 16, 25, ...<br />
9) −34, −26, −18, −10, −2, ... 10) 0, 3, 8, 15, 24, ...<br />
11) a n<br />
= −163 + 200n 12) a n<br />
= 16 + 3n<br />
13) a n<br />
= −4 ⋅ (−3) n − 1 14) a n<br />
= − 3 4 + 3 2 n
-2-<br />
©1 p2j0p1a2r iK6uktaay pSAo2fDtBwEavr0eF eLeLmCE.r o iAZlslG Yrpingmhutus0 nrbeas4e2r3v9eldO.4 2 uMGaUdcet jwsi0tgh1 WINnofiiOnNigtJeR 3A8lfg8eVbur 0ae R2e.z Worksheet by <strong>Kuta</strong> <strong>Software</strong> LLC<br />
15) a n<br />
= −43 + 4n 16) a n<br />
= (2n) 2<br />
17) a n<br />
= −43 + 7n<br />
18) a n<br />
= n 2 n<br />
19) a n<br />
= −(−3) n − 1 20) a n<br />
= 2 ⋅ (−3) n − 1<br />
21) a n<br />
= a n − 1<br />
+ 6<br />
a 1<br />
= −17<br />
22) a n<br />
= na n − 1<br />
a 1<br />
= −1<br />
23) a n<br />
= a n − 1<br />
⋅ −5<br />
a 1<br />
= 4<br />
24) a n<br />
= a n − 1<br />
+ 8<br />
a 1<br />
= −17<br />
25) a n<br />
= 2 + a n − 1<br />
2<br />
a 1<br />
= −6<br />
26) a n<br />
= a n − 1<br />
+ 2<br />
a 1<br />
= 9<br />
27) a n<br />
= a n − 1<br />
+ 10<br />
a 1<br />
= −1<br />
28) a n<br />
= na n − 1<br />
a 1<br />
= 1
-1-<br />
©Z Q2j0e1R2V qKdu6tyaX vS8oOfOtDwuairRey XLaL2C6.E v SAqlHlM arc igmh5tksI pr zeNsHe0rjv8e2dz.L G 7MKapdleW Vw0iFtDhl ZI3nefeiOnj itmeO KAZlkgveFb7r1a5 b2w.9 Worksheet by <strong>Kuta</strong> <strong>Software</strong> LLC<br />
<strong>Kuta</strong> <strong>Software</strong> - Infinite Algebra 2<br />
Name___________________________________<br />
<strong>Comparing</strong> <strong>Arithmetic</strong> <strong>and</strong> <strong>Geometric</strong> <strong>Sequences</strong><br />
For each sequence, state if it is arithmetic, geometric, or neither.<br />
Date________________ Period____<br />
1) 1, 3, 6, 10, 15, ...<br />
Neither<br />
2) 40, 43, 46, 49, 52, ...<br />
<strong>Arithmetic</strong><br />
3) 4, 13<br />
3 , 14 16<br />
, 5,<br />
3 3 , ...<br />
<strong>Arithmetic</strong><br />
4) −4, 12, −36, 108, −324, ...<br />
<strong>Geometric</strong><br />
5) 4, 16, 36, 64, 100, ...<br />
Neither<br />
6) −29, −34, −39, −44, −49, ...<br />
<strong>Arithmetic</strong><br />
7) 1, 5, 25, 125, 625, ...<br />
<strong>Geometric</strong><br />
8) 1, 4, 9, 16, 25, ...<br />
Neither<br />
9) −34, −26, −18, −10, −2, ...<br />
<strong>Arithmetic</strong><br />
10) 0, 3, 8, 15, 24, ...<br />
Neither<br />
11) a n<br />
= −163 + 200n<br />
<strong>Arithmetic</strong><br />
12) a n<br />
= 16 + 3n<br />
<strong>Arithmetic</strong><br />
13) a n<br />
= −4 ⋅ (−3) n − 1<br />
<strong>Geometric</strong><br />
14) a n<br />
= − 3 4 + 3 2 n<br />
<strong>Arithmetic</strong>
-2-<br />
©3 a2F0h1720 DKvuDtTaS fSBoGfftBwBadrIem WLBLPCm.f 7 yAwl7lR yrLifgYh2tPsL WrveIsJeqr 1vheAdV.i S LMVaAdfet 1wsintrhG EINnIfRiKnFiGteew bAylZg6ekbnr8aE o2H.0 Worksheet by <strong>Kuta</strong> <strong>Software</strong> LLC<br />
15) a n<br />
= −43 + 4n<br />
16) a n<br />
= (2n) 2<br />
<strong>Arithmetic</strong><br />
Neither<br />
17) a n<br />
= −43 + 7n<br />
<strong>Arithmetic</strong><br />
18) a n<br />
= n 2 n<br />
Neither<br />
19) a n<br />
= −(−3) n − 1<br />
<strong>Geometric</strong><br />
20) a n<br />
= 2 ⋅ (−3) n − 1<br />
<strong>Geometric</strong><br />
21) a n<br />
= a n − 1<br />
+ 6<br />
a 1<br />
= −17<br />
<strong>Arithmetic</strong><br />
22) a n<br />
= na n − 1<br />
a 1<br />
= −1<br />
Neither<br />
23) a n<br />
= a n − 1<br />
⋅ −5<br />
a 1<br />
= 4<br />
<strong>Geometric</strong><br />
24) a n<br />
= a n − 1<br />
+ 8<br />
a 1<br />
= −17<br />
<strong>Arithmetic</strong><br />
25) a n<br />
= 2 + a n − 1<br />
2<br />
a 1<br />
= −6<br />
Neither<br />
26) a n<br />
= a n − 1<br />
+ 2<br />
a 1<br />
= 9<br />
<strong>Arithmetic</strong><br />
27) a n<br />
= a n − 1<br />
+ 10<br />
a 1<br />
= −1<br />
<strong>Arithmetic</strong><br />
28) a n<br />
= na n − 1<br />
a 1<br />
= 1<br />
Neither<br />
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