3, 9, 27, 81, 343, 729, … is a geometric sequence because each term is obtained by multiplying 3 to the preceding term.
Answer:
a= 1 , b = 1/16 , c = 1/256 , d= 3/2 , e=4/9 , f= 16/81
Step-by-step explanation:
The first table is given as;
x 4⁻ˣ
-1 4
0 1
2 1/16
4 1/256
a= 1 , b = 1/16 , c = 1/256
The second table is given as;
x {2/3}^x
-1 3/2
0 1
2 4/9
4 16/81
d= 3/2 , e=4/9 , f= 16/81
There are many answers. I’ll give you three examples...
4/10
6/15
8/20
There is a pattern too, just a trick!
Answer:
3 × 5 ^ n
Step-by-step explanation:
since the series is exponential, the ratio between adjacent terms is 5.
nth term of geometric/exponential series is given by:
nth term = first term × (ratio)^(n-1)
= 15 × 5^ (n-1)
= 15 × 5^n × 5^-1
= 3× 5^n
