Using inductive reasoning, show that t(n+1)=t(n-2)+2t(n-1)

Mathematics

1 answer:

professor190 [17]3 years ago

6 0

Answer:

uuhhhh t=2/3n-2/3

Step-by-step explanation:

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Pineapples cost $2.50 each and mangos cost $1.50 each. Tim purchased 15 pieces of fruit for $29.50. How many pineapples and how

kotykmax [81]

We can create equations to solve this.

2.50p + 1.50m = 29.50
p + m = 15

Solve for a variable in the 2nd equation and use the substitution method to solve.

p + m = 15

Subtract p to both sides:

m = -p + 15

Plug in -p + 15 for m in the first equation.

2.50p + 1.50(-p + 15) = 29.50

Distribute:

2.50p - 1.50p + 22.50 = 29.50

Combine like terms:

p + 22.50 = 29.50

Subtract 22.50 to both sides:

p = 7

Now plug this into any of the two equations and solve for the other variable.

p + m = 15

7 + m = 15

Subtract 7 to both sides:

m = 8

So he purchased 7 pineapples and 8 mangos.

4 0

3 years ago

Volume & surface! May I please have help

Ludmilka [50]

Answer:

Step-by-step explanation:

surface area of cylinder

=(area of base)×2 + (area of curved surface)

$=(\frac{20}{2} )^{2} \pi$ × 2 + $20\pi$ × 25