1. Give an example of an arithmetic sequence such that the 35th term is 4,207?(adsbygoogle = window.adsbygoogle || []).push({});

I used the general form of an arithmetic seq. an = a1 + (n-1)d and found that,

a1 = 25, and d = 123

Does this look ok? I had to use some trial and error since we have two unknowns.

2. What is the 57th smallest whole number that has a remainder of 2 when it is divisible by 4 and 6.

I am getting 686.

3. Mark saved money in his bank. The first month he put 11$ in the bank. Every month thereafter he deposited more money, and it was the same amount each month. When he counted the money he totaled 195.00$ .What are possible amounts of money he could have deposited each month?

Solution:

Lets assume that he continued to deposit for m number of months after the first month. Also lets assume that he deposited x dollars each month.

I am feeling something is missing in this problem. Anyway this is how I did this.

195 = 11 + m * x

m * x = 184

x = 184/m where m is a whole number.

The possible values of money deposited are 184/m where m = 1,2,3,4,………………….

Some possible values for the money deposited are: $184, $92, $61.3, $46, ………..

Thanks a lot,

Gamma.

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# Arithmetic sequences

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