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# I need help with the following Math questions!!

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## Replies to: I need help with the following Math questions!!

• Registered User Posts: 99 Junior Member
Ok, I haven't done as much with sequences, but I'll try to explain it.

First, in sequences, you can write the value of each term as a function of n (the term you are on). There are many different types of sequences, but if it says the difference between terms is constant that means it is arithmetic(i think)

basically this means in the equation that describes the sequence, there won't be any powers to juggle.

In arithmetic sequences, you have a coefficient, n, and a constant. so it is ?n + or - ?
The coefficient of n is the difference between terms, so that is the best place to start.

You are given two terms, and their values. The difference between 4 and 11 (your terms) is 7. The difference between 47 and 19 (your values) is 28. To find the difference per term, divide 28 by 7 to get 4. (Think about slope of a line - it's the same idea)

now you have 4n + ?. You are given a term and its value, so you can use substitution. When n is 4, your value is 19.
so 4(4) + ? =19
16+?=19
?=3

Now you can write your equation
value=4n+3

finally substitute 1 for n
value=4(1)+3
value=7