PLEASE PLEASE help Determine whether the sequence appears to be an arithmetic sequence. If so, find the common difference and the next three terms in the sequence.
0, 10, 18, 25, 33, ...
A. yes
common difference: −9
next three terms: 24, 15, 6

B. not an arithmetic sequence

C. yes
common difference: 10
next three terms: 43, 53, 63

D. yes
common difference: 8
next three terms: 41, 49, 57

B

Step-by-step explanation:

its not arithmetic sequence

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.