SOLUTION: Hello I would like to know how to do nth term or the 100th term, please explain it. Find the nth term and the 100th term of this sequence -3 , -13, 23 .. PLEASE EXPLAIN IT IN

Algebra ->  Test -> SOLUTION: Hello I would like to know how to do nth term or the 100th term, please explain it. Find the nth term and the 100th term of this sequence -3 , -13, 23 .. PLEASE EXPLAIN IT IN      Log On


   

Question 751136: Hello I would like to know how to do nth term or the 100th term, please explain it.
Find the nth term and the 100th term of this sequence -3 , -13, 23 ..
PLEASE EXPLAIN IT IN DETAILS PLEASE THANKYOU SO MUCH:)
Answer by timvanswearingen(106) About Me  (Show Source):
You can put this solution on YOUR website!
If it is supposed to be -3, -13, -23....then you just need the formula for the nth term of an arithmetic sequence:
a%5Bn%5D=a%5B1%5D%2B%28n-1%29%2Ad Where a sub n is the nth term, a sub 1 is the first term, n is the number of the term you are looking to find and d is the common difference between the terms. So a sub 1 is -3, n is 100, and d is -10:
a%5Bn%5D=a%5B1%5D%2B%28n-1%29%2Ad
a%5B100%5D=+-3%2B%28100-1%29%2A%28-10%29
a%5B100%5D=+-3%2B%2899%29%2A%28-10%29
a%5B100%5D=+-3-990
a%5B100%5D=+-993%29