Find the seventh term of the following sequence?

1, 2, 4,

1. 64
2. 22
3. 12

the correct option is option 1

Step-by-step explanation:

The first 3 terms of the sequence are

1, 2, 4, ..

The rate at which each term is increasing is in geometric progression.

The expression for the nth term of geometric sequence is

Tn = ar^n-1

Tn = the nth term of the sequence

a = the first term of the sequence

r = common ratio

From the information given,

The common ratio is expressed as the ratio of a term to its previous consecutive term. It becomes

2/1 = 4/2 = 2. Therefore

r = 2

a = 1

We want to determine the 7th term. It becomes

T7 = 1×2^7-1

T7 = 2^6 = 64

The 7th term is 64

b. the decimal could be two-tenths.

step-by-step explanation:

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!