Question

Which sequence shows a pattern where each term is 1.5 times the previous term?

–4, 6, –9, 13.5, …
10, 15, 25, 40, …
98, 99.5, 101, 102.5 …
–200, –300, –450, –675, …

Answer 1

Given: The four sequences .

To find: Which sequence shows a pattern where each term is 1.5 times the previous term?

Solution:

• Now the sequences are:

           1. –4, 6, –9, 13.5, …

                 -4(1.5) = 6

• In this the second term is not 1.5 times the previous term because of (-) sign.

       

            2. 10, 15, 25, 40, …

                10 x 1.5 = 15

                15 x 1.5 = 22.5

• In this the third term is not 1.5 times the previous term.

           3. 98, 99.5, 101, 102.5 …

                98 x 1.5 = 147

• In this the second term is not 1.5 times the previous term.

           4. –200, –300, –450, –675, …

                -200 x 1.5 = -300

                -300 x 1.5 = -450

                -450 x 1.5 = -675

• Yes, in this sequence it shows a pattern where each term is 1.5 times the previous term.

Answer:

         So the sequence is 4. –200, –300, –450, –675, …

Answer 2

Answer:

the answer is -200,-300,-450,-675,.....

Step-by-step explanation:

i did it on edgunity and i got it right hope it helps:)