Question

Use the sequence below to complete each task. 2, 14, 98, .. a. Identify the common ratio (r). b. Write an equation to represent the sequence. C. Find the 5th term (as)

Answer 1

we have the sequence

2, 14, 98, ..

step 1

we have

a1=2

a2=14

a3=98

a2/a1=14/2=7

a3/a2=98/14=7

so

the common ratio r is

r=7

step 2

write an equation

we have that

the equation for a general geometric sequence is equal to

an=a1(r^(n-1))

we have

r=7

a1=2

substitute

an=2(7^(n-1))

step 3

Find the 5th term

we have

n=5

so

a5=2(7^(5-1))

a5=2(7^4)

a5=4,802