Can anyone solve the first question !

  255

Step-by-step explanation:

The recursive formula is used to find the terms one-by-one, unless you convert it to an explicit formula.

  first term (given): 3

  2nd term = 4·3 +3 = 15

  3rd term = 4·15 +3 = 63

  4th term = 4·63 +3 = 255

_____

Looking at the sequence of terms, we see that an explicit formula might be ...

  an = 4^n -1

Then the 4th term is

  a4 = 4^4 -1 = 256 -1 = 255

_____

Comment on the problem statement

This is NOT an Arithmetic Progression. An arithmetic progression has a common difference between terms. Here, the differences are 12, 48, 192, numbers that are different from one pair of adjacent terms to the next.

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation:

answer: hence, function will be

explanation:

since we have given that

cost of a new textbook = $85

according to question, the resale value of a textbook decreases by 25% with each previous owner,

so, our function becomes,

here, y is the total value of the text book after x owners.

hence, function will be