Find the 14th term of the geometric sequence 5, -10, 20, ...

-130

Step-by-step explanation:

The formula for the nth term of a geometric sequence is

a(n) = a(1)*r*(n - 1), where r is the common ratio, a(1) is the first term and n is the index.

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Here r = -2 and the first term is 5.  Thus,

a(14) = 5(14 - 1)(-2) = 5(13)(-2) = -130

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.

step-by-step explanation: