ID: 1
Algebra 2
Name___________________________________
Final Review Sequences and Series
Date________________ Period____
©L s2J0V1d4f pK8uRtFaB 6SgoMfCt6wma2rQeJ aLiL7Cu.Q 0 gAtlzl7 vrXidgyh6txsB vr0ewsfeLrmvbeMdt.S
Find the common difference, the 52nd term, and the explicit formula.
1) −15, −8, −1, 6, ...
2) 10, 20, 30, 40, ...
Given the explicit formula for an arithmetic sequence find the common difference and the 52nd term.
3) an = −47 + 20n
4) an = 198 − 200n
Find the common ratio, the 8th term, and the explicit formula.
5) −3, 9, −27, 81, ...
6) 3, 18, 108, 648, ...
Given the explicit formula for a geometric sequence find the common ratio and the 8th term.
7) an = −(−4) n − 1
8) an = 2 ⋅ 3 n − 1
Evaluate each arithmetic series described.
9) 18 + 26 + 34 + 42..., n = 9
©m k2e0d1e4G DKluttKap 8SToHfutswsacrfeu 6L5LWCZ.E V uAplWlp zrjiBgOhBtjss 4rOeds1earLvGesdz.3 S 2MDakdWex LwYiXtVh5 QIVn2fMiNncilt9eO qADlNgkexbKrhab c2Z.6
10) 14 + 19 + 24 + 29..., n = 11
Worksheet by Kuta Software LLC
ID: 1
Algebra 2
Name___________________________________
Final Review Sequences and Series
Date________________ Period____
©T 52h0c1S4e ZKWuPt7an JSRosfUtnwPaOrJe0 9LML0CQ.L X UAJlLlu Tr1i9g7hjtlsI yrSelsde4rAvZeJda.e
Find the common difference, the 52nd term, and the explicit formula.
2) 10, 20, 30, 40, ...
1) −15, −8, −1, 6, ...
Common Difference: d = 7
a52 = 342
Common Difference: d = 10
a52 = 520
Explicit: an = −22 + 7n
Explicit: an = 10n
Given the explicit formula for an arithmetic sequence find the common difference and the 52nd term.
3) an = −47 + 20n
4) an = 198 − 200n
Common Difference: d = 20
a52 = 993
Common Difference: d = −200
a52 = −10202
Find the common ratio, the 8th term, and the explicit formula.
5) −3, 9, −27, 81, ...
6) 3, 18, 108, 648, ...
Common Ratio: r = −3
a8 = 6561
Explicit: an = −3 ⋅ (−3)
n−1
Common Ratio: r = 6
a8 = 839808
Explicit: an = 3 ⋅ 6
n−1
Given the explicit formula for a geometric sequence find the common ratio and the 8th term.
7) an = −(−4) n − 1
Common Ratio: r = −4
a8 = 16384
8) an = 2 ⋅ 3 n − 1
Common Ratio: r = 3
a8 = 4374
Evaluate each arithmetic series described.
9) 18 + 26 + 34 + 42..., n = 9
450
©t 52r0t174G oK5uat0ae LSeoCfYtnwFaxruej zLVLyCY.z O nAql5lc arniPgRhWtcsV HrSe9saeYrQv7eCdM.3 l 3MOa1dIe9 TwpintLhJ 4Ihncf7ifnzint1e2 dANlOg8ePb6rZaR P2L.K
10) 14 + 19 + 24 + 29..., n = 11
429
Worksheet by Kuta Software LLC