Q:

What is the 8th term of this geometric sequence? 6, 48, 384, 3072, . . .

Accepted Solution

A:
Answer:a(8)=12582912Step-by-step explanation:The 8th term can be determined by the formula:an = a1 * r^(n-1)wheren = the term to be found = 8a1 = 1st numberr = common ratioCommon ratio can be found by dividing the second term by the first term= 48/6 = 8Substitute the values in the formulaa(8) = 6 * 8^(8-1)a(8) = 6 * 8^7a(8)= 6*8*8*8*8*8*8*8a(8) = 6 * 2097152a(8)=12582912 ....Therefore the 8th term is 12582912 ....