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.

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

6, 10

9, -13

12, -21

18, -23

step-by-step explanation:

you just add 6 to the x-coordinate and subtract 10 from the y-coordinate.