d. 10, 10³, 105, 107,... e. 139+5.231, 139+6.2³1, 139+7.231, ..

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 49E
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Find the 100th and the nth term for each of the following sequences.
a. 1, 7, 13, 19, ...
b. 50, 80, 110, .
c. 1, 3, 9, ...
d. 10, 10³, 105, 107, ...
e. 139 +5.2³1, 139 +6•2³1, 139 +7.2³1, ...
31
a. The 100th term of 1, 7, 13, 19, ... is 595.
(Simplify your answer.)
The nth term of 1, 7, 13, 19, ... is 6n - 5.
(Simplify your answer.)
b. The 100th term of 50, 80, 110, ... is 3020.
(Simplify your answer.)
The nth term of 50, 80, 110, ... is 30n + 20
(Simplify your answer.)
99
3⁹⁹ .
c. The 100th term of 1, 3, 9, ... is
(Simplify your answer. Type your answer using exponential notation.)
The nth term of 1, 3, 9, ... is 3-1
(Simplify your answer.)
d. The 100th term of 10, 10³, 105, 107, ... is
(Simplify your answer. Type your answer using exponential notation.)
Transcribed Image Text:Find the 100th and the nth term for each of the following sequences. a. 1, 7, 13, 19, ... b. 50, 80, 110, . c. 1, 3, 9, ... d. 10, 10³, 105, 107, ... e. 139 +5.2³1, 139 +6•2³1, 139 +7.2³1, ... 31 a. The 100th term of 1, 7, 13, 19, ... is 595. (Simplify your answer.) The nth term of 1, 7, 13, 19, ... is 6n - 5. (Simplify your answer.) b. The 100th term of 50, 80, 110, ... is 3020. (Simplify your answer.) The nth term of 50, 80, 110, ... is 30n + 20 (Simplify your answer.) 99 3⁹⁹ . c. The 100th term of 1, 3, 9, ... is (Simplify your answer. Type your answer using exponential notation.) The nth term of 1, 3, 9, ... is 3-1 (Simplify your answer.) d. The 100th term of 10, 10³, 105, 107, ... is (Simplify your answer. Type your answer using exponential notation.)
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