Question

the closed form of the sequence an: 2,7,12,17,... is ___.
A. an=5n-3
B. an=2^n
C. an=n+1
D. an=10n-8

Answer 1

2,7,12,17,...

This is an Arithmetic Sequence.

The common difference is: +5

Answer 2

2 + (5) = 7
7 + (5) = 12
12 + (5) = 17
17 + (5) = 22
and so on...

Answer 3

I saw that but I plugged in some of the values into the equations but none of them worked... so I don't know if i'm doing it wrong or not

Answer 4

try again

Answer 5

\[a _{n} = a _{1} + (n-1)d\]
a1 is the first term.
d is the common difference.
\[a _{n} = 2 + (n-1)5\]
\[a _{n} = 2 + 5n - 5\]

Answer 6

\(a_1=2=5\times 1-3\)

Answer 7

Can you finish it up from there @paigeRG

Answer 8

and \(a_2=7=5\times 2-3\)

Answer 9

oooooooooooooohhhhhhhhhh I get it now I was subtracting first instead of multiplying first thanks guys!!!

Answer 10

yw :)