Find the first five terms of the recursive
sequence defined by the function below.
f(n) = 2f (n − 1) + 3n, where f(1) = -2
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11 11.
nce defined
ne fund
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N
n, where fi
2

Step-by-step explanation:

hello :

f(n) = 2f (n − 1) + 3n, where f(1) = -2

n= 2 :  f(2)=2f(2-1)+3(2) =2f(1)+6 = 2(-2)+6=2

n= 3 :  f(3)=2f(3-1)+3(3) =2f(2)+9=2(2)+9=13

n= 4 :  f(4)=2f(4-1)+3(4) =2f(3)+12=2(13)+12=37

n= 5 :  f(5)=2f(2-1)+3(5) =2f(4)+15=2(37)+15=89

step-by-step explanation:

no, her answer is not correct.   we square the lengths of all sides and then determine whether the pythagorean theorem holds here:

9² + 15² = 306.   this is not equal to the square of the longest side ( that square being 395.   answer c is correct.

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!