Answer:
Step-by-step explanation:
Recursive Sequence
We are given the following sequence:
-1, 1, 5, 13...
It's required to find the recursive term for the sequence.
A recursive formula calculates each term as a function of one or more previous terms.
To find the recursive formula, we must find a pattern and transform it into a math expression.
Let's write the sequence, and below it, the difference of consecutive terms:
-1, 1, 5, 13...
+2, +4, +8
Note the difference between consecutive terms is always a power of 2, starting from 2^1, 2^2, 2^3.
The exponent is one less than the number of the term, thus:
Thus:
Testing:
n=1
(given).
n=2
n=3
n=4
Answer:
The farmer bought 36 pigs in all.
Step-by-step explanation:
Given that a farmer bought a number of pigs for $ 160, but, however, 8 of them died before he could sell the rest at a profit of 6 per pig, and his total profit was $ 8, to determine how many pigs did he originally buy the following calculation must be performed:
160 + 8 = 168
168/6 = 28
28 + 8 = 36
Thus, the farmer bought 36 pigs in all.
Answer:
B
Step-by-step explanation:
Triangle B because 128°>90°
Answer:
first of all we don't know what u look like
There exists a trigonometric identity which states that,
sin (A - B) = sin A cos B - cos A sin B
This is very similar to the given expression with A equal to 57° and B equal to 13°. The simplified form of the angle is,
sin (57° - 13°) = sin 44°
