Question

What is the fifth term of the sequence?

an=5⋅2n−1

Enter your answer in the box.

a5=

Answer 1

Do you have an idea of how to start this type of problem off?

Answer 2

um no not a clue

Answer 3

Also is it

\[a _{n} = 5 \times 2(n - 1)\]

or

\[a _{n} = 5 \times 2^{(n -1)}\]

Answer 4

thanks you saved my life on this

Answer 5

It's the second one?

Answer 6

no that was just one question

Answer 7

No I am asking which form is it in?

Answer 8

oh the bottom one

Answer 9

Haha, that is an important distinction. If (n-1) is not as an exponent then it starts to look like the form for an arithmetic sequence, except you would have an addition sign instead of multiplication after a1 (or in this case 5)

Answer 10

Arithmetic Sequences:

\[a _{n} = a _{1} + d(n - 1)\]

Geometric Sequences:

\[a _{n} = a _{1} \times r ^{(n - 1)}\]

Where d is the difference between two terms and r is the ratio by which the sequence increases.

Here, we are dealing with geometric sequences.

Since n represents the place number of the term in the sequence, if we are looking for the 5th term of the sequence, we simply input 5 into your given equation of:

\[a _{n} = 5 \times 2^{(n -1)}\]

Answer 11

Do you know how to solve for that?

Answer 12

um....no

Answer 13

\[a _{5} = 5 \times 2^{(5 - 1)}\]

\[a ^{5} = 5 \times 2^{4}\]

Answer 14

Take 2 to the 4th power, then multiply your result by 5

Answer 15

so 16 times 5

Answer 16

lol 80

Answer 17

Yep :)

Answer 18

thanks so much

Answer 19

No problem