Question

how do I solve the 7th term of the sequence of 1,4,16,64?

Answer 1

Notice how each term is being multiplied by 4 each time? This is called a geometric sequence which has the formula
a(n)=a(1)*r^(n-1)
where a(1) is the first term of the sequence,
r is the common ratio, n is the number of the term to find.

Answer 2

So let's say we want the 7th term.
a(7)=a(1)*r^(7-1)

Answer 3

r is our common ratio, or what we multiply by every time, which is 4.
a(7) is what we are looking for
a(1) is our first term and is 1

a(7)=1*4^6
a(7)=4096

Hope this helped!

Answer 4

Is there a better answer?

Answer 5

How can I solve the 7 term of sequence of 1,4,16,64 in a understandable step by step way?

Answer 6

The easiest way for me to explain this is look at the sequence. You want the 7th term of this sequence. Notice any patterns between each number?