Find the sum of the first seven terms of the sequence 4, 12, 36, 108, … .
a. 1,456
b.1,457
c.4,372
d.4,374

C

Step-by-step explanation:

As we can see from the series, each term is 3 multiplied by the term preceding it.

12=3*4

36=3*12

108=3*36

etc.

This way, we can figure out the next terms (until 7th term):

5th term = 108*3=324

6th term = 324*3=972

7th term = 972*3=2916

Now adding all 7 terms, we get the sum:

4+12+36+108+324+972+2916=4372

Answer choice C is right.