Hanna and Dana are learning about sequences in their Algebra class, Dana wrote down a number sequence on a place of paper and asked Hanna to guess the sequence. She told her that the sequence could be described by the equation y -43 +21
a) What are the first four terms of Dana’s sequence?
b) What is the 34th term of the sequence?

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.

do it yourself this is easy

step-by-step explanation: