Asked by Anonymous
Homework Help: Quick Math Help
Posted by Anonymous on Tuesday, October 11, 2016 at 4:06pm.
1. let an=4n find the sum of the first 5 terms.
How would you do this?
2. a1=3; an+1=3an+18. Find a6
How would you do this?
3. You start you 30 year career at a salary of $50,000 and receive yearly raises of $1,000. How much money will you have earned, in total, over the 30 years?
Posted by Anonymous on Tuesday, October 11, 2016 at 4:06pm.
1. let an=4n find the sum of the first 5 terms.
How would you do this?
2. a1=3; an+1=3an+18. Find a6
How would you do this?
3. You start you 30 year career at a salary of $50,000 and receive yearly raises of $1,000. How much money will you have earned, in total, over the 30 years?
Answers
Answered by
Reiny
1. list the terms
a(n) = 4n, start with n=1,2,..
terms are 4, 8,12, 16, 32
now add them up
2. I think you mean
a(n+1) = 4a(n) + 18, where a(1) = 3
a(2) = 4a(1) + 18 = 4(3)+18 = 30
a(3) = 4a(2) + 18 = 4(30)+18 = 138
carry on to a(6)
This is called a recursive sequence, where any term depends on the value of the previous term
3. An AS, where a = 50000, and d = 1000
n = 30
Use your formula for the sum of n terms
a(n) = 4n, start with n=1,2,..
terms are 4, 8,12, 16, 32
now add them up
2. I think you mean
a(n+1) = 4a(n) + 18, where a(1) = 3
a(2) = 4a(1) + 18 = 4(3)+18 = 30
a(3) = 4a(2) + 18 = 4(30)+18 = 138
carry on to a(6)
This is called a recursive sequence, where any term depends on the value of the previous term
3. An AS, where a = 50000, and d = 1000
n = 30
Use your formula for the sum of n terms
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