Asequence is defined by the recursive formula f(n + 1) = 1.5f(n). which sequence could be generated using the formula? –12, –18, –27, –20, 30, –45, –18, –16.5, –15, –16, –17.5, –19,

We're analyzing each case to determine the solution.

we know that the sequence's formula is

case a)

we have the sequence

Let

with the formula find the value of and and compare

Find the value of

Find the value of

therefore

The sequence case a) could be generated using the formula

case b)

we have the sequence

Let

with the formula find the value of and and compare

Find the value of

Find the value of

therefore

The sequence case b) could not be generated using the formula

case c)

we have the sequence

Let

with the formula find the value of and and compare

Find the value of

Find the value of

therefore

The sequence case c) could not be generated using the formula

case d)

we have the sequence

Let

with the formula find the value of and and compare

Find the value of

Find the value of

therefore

The sequence case d) could not be generated using the formula

therefore

the answer is

The sequence case a) could be generated using the formula

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

many reason,

step-by-step explanation: