Included a pic of the solution and work.
Eighty million, forty thousand, nine hundred sixty.
Y = 3/5x + 3
The number before x is the slope, and the last number is the number when x = 0 (aka x,y in coordinates)
Answer:
a) The explicit formula is
b) The 31st term of the sequence is 222
Step-by-step explanation:
a) The explicit formula for an arithmetic sequence is:
The recursive formula for the sequence is
From this formula we can find the common difference by comparing to the general recursive formula:
This means the common difference d=7.
We now substitute the first term and the common difference into the explicit formula: to obtain:
Expand to get:
Simplify:
b) To find the 31st term of this sequence, we substitute n=31 in to the the explicit formula, to obtain:
Multiply to get:
Add to get:
Therefore the 31st term of the sequence is 222