Consider the sequence where the term values are all 5 times as large their term positions. 5, 10, 15, 20, .. a. Complete the following table. term position n term value a, 1 5 10 3 15 4 20 5 25 30 7 35 b. If the pattern continued, what would be the value of the 32nd term? [Hint: Think carefully about the relationship between the term val and their positions - don't write out the sequence!] a32 160 Preview c. Write a formula relating the term value and term position. Use the following tips to help you. o Your answer will be a formula for a, in terms of n, so something like a, = n? or a, = Vn + 10. о Туре "а _n" to represent an. a_n=5*n Preview

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter12: Sequences, Series And Binomial Theorem
Section12.2: Arithmetic Sequences
Problem 12.34TI: Find the first term and common difference of a sequence where the third term is 2 and the twelfth...
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Consider the sequence where the term values are all 5 times as large their term positions.
5, 10, 15, 20, ..
a. Complete the following table.
term position n term value a,
1
5
10
3
15
4
20
5
25
30
7
35
b. If the pattern continued, what would be the value of the 32nd term? [Hint: Think carefully about the relationship between the term val
and their positions - don't write out the sequence!]
a32
160
Preview
c. Write a formula relating the term value and term position. Use the following tips to help you.
o Your answer will be a formula for a, in terms of n, so something like a, = n? or a, = Vn + 10.
о Туре "а _n" to represent an.
a_n=5*n
Preview
Transcribed Image Text:Consider the sequence where the term values are all 5 times as large their term positions. 5, 10, 15, 20, .. a. Complete the following table. term position n term value a, 1 5 10 3 15 4 20 5 25 30 7 35 b. If the pattern continued, what would be the value of the 32nd term? [Hint: Think carefully about the relationship between the term val and their positions - don't write out the sequence!] a32 160 Preview c. Write a formula relating the term value and term position. Use the following tips to help you. o Your answer will be a formula for a, in terms of n, so something like a, = n? or a, = Vn + 10. о Туре "а _n" to represent an. a_n=5*n Preview
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