SOLUTION: Hello, my name is kevin i need help with this 2 questions; Write an equation from the nth term of the architmetic sequence. Then find a10. 15. -2,5,12,19... 16. 13,9,5,1... P

Question 1009259: Hello, my name is kevin
i need help with this 2 questions;
Write an equation from the nth term of the architmetic sequence. Then find a10.
15. -2,5,12,19...
16. 13,9,5,1...
Please say answer to both problems and all work
thanks

Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
Sequences of numbers that follow a pattern of adding a fixed number from one term to the next are called arithmetic sequences.
15.
,,,...
For this sequence, if we add to the first number we will get the second number,if we add to the second number we will get the third number, and so on.
It means, the common difference (the difference between any two consecutive terms}}} is
The d-value can be calculated by subtracting any two consecutive terms in an arithmetic sequence.

if and , then

and your sequence will be
,,,,,,,,,...
.
the nth term of the arithmetic sequence will be
.......where is any positive integer greater than
then 10th term will be:

16.
,,,...

if and , then

the nth term of the arithmetic sequence will be

then 10th term will be:

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