The first three terms of an arithmetic sequence are x-1, 3x-2 and 5x-3. Which of the following expressions represents the 15th term in the arithmetic sequence

29x-15

Step-by-step explanation:

fifteenth term=x-1+14(2x-1)

=x-1+28x-14

=29x-15

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.

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step-by-step explanation: