http://keypress.com/documents/daa1/M...AA_MPYS_01.pdf
WORK SHEET 1.3 Problem #4 a-h
THANK YOU!
http://keypress.com/documents/daa1/M...AA_MPYS_01.pdf
WORK SHEET 1.3 Problem #4 a-h
THANK YOU!
Hello, 13373l1t3!
They asked for the "recursive" formula.
But if they want, say, the 21st term, we'd better have a "closed" form.
4. Write a recursive formula to generate each sequence.
Then find the indicated term.
. Find the 10th term.
The sequence increases by 4 at each stage.
The recursive formula is: .
(Each term is the preceding term plus 4.)
The closed formula is: .
Therefore: .
. Find the 12th term.
Each term is one-tenth of the preceding term.
The formula is: .
Therefore: .
. Find the 15th term.
The terms decrease by 2.31
The formula is: .
Therefore: .
. Find the 8th term.
Each term is times the preceding term.
The formula is: .
Therefore: .
. Find the 21st term.
This is a sneaky one!
Here is my thought process . . .
The numerators seems to be all 1's.
Then how come the first term has a numerator of 0 ?
Then it hit me . . . the numerators are: .
. . and the denominators are all 6's !!
Get it? .We have: .
. . and that is why the sequence begins: .
The formula is: .
Therefore: .
. Find the 15th term.
Each term is to a power.
The formula is: .
Therefore: .