Algebra ll

Help please, I don't understand how to do this...

Give an example of an arithmetic sequence that is found in the real world. Find the common difference and write a recursive and iterative rule for the sequence. Use one of the rules to find another term of the sequence.

Then give an example of a geometric sequence that is found in the real world. Find the common ratio and write a recursive and iterative rule for the sequence. Use a rule to find any term.

Then clearly explain why each example is either an arithmetic or geometric sequence.

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  1. simple yearly interest rate i
    (percent = 100 i)
    at n = 1 first year beginning
    Amount = A
    second year
    Amount = A + Ai
    Third year
    Amount = A + 2 A i
    This is an arithmetic sequence with
    A = starting amount
    A i = d
    so Amount = A + d (n-1)

    recursive Amount n = Amount (n-1) + d
    where d = Ai

    -----------------------------
    Geometric sequence = compound interest

    Amount at n = (amount at n-1) * (1+i)
    so
    Amount at n = original amount * (1+i)^(n-1)
    where n is 1 at the time of deposit

    so if original amount at n = 1 is A
    amount

    that is of form A r^(n-1)
    where r = (1+i)
    and n is the number of years starting with deposit at n = 1

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  2. thank you so much!! :)

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  3. You are welcome :)

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  4. was up

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