Question

Identify the 35th term of an arithmetic sequence where a1 = -7 and a18 = 95. (2 points)
Question 1 options:

1) 203

2) 197

3) 168

4) 163

Answer 1

Are you familiar with this formula?

\[\Large a_{n} = a_1 + d(n-1)\]

Answer 2

im confused @jim_thompson5910

Answer 3

Plug in n = 18. Then plug in the given values for a1 and a18. Finally solve for d
\[\Large a_{n} = a_1 + d(n-1)\]
\[\Large a_{18} = a_1 + d(18-1)\]
\[\Large 95 = -7 + d(18-1)\]
solve for d to get d = ???

Answer 4

what is the value for D im confused

Answer 5

you have to isolate d

Answer 6

\[\Large 95 = -7 + d(18-1)\]
\[\Large 95 = -7 + d(17)\]
\[\Large 95 = -7 + 17d\]
\[\Large d = ???\]

Answer 7

6?

Answer 8

yes

Answer 9

95

Answer 10

so the nth term is...

\[\Large a_{n} = a_1 + d(n-1)\]
\[\Large a_{n} = -7 + d(n-1)\]
\[\Large a_{n} = -7 + 6(n-1)\]
\[\Large a_{n} = -7 + 6n-6\]
\[\Large a_{n} = 6n-13\]

Answer 11

95

Answer 12

Plug in n = 35 to compute the 35th term

\[\Large a_{n} = 6n-13\]
\[\Large a_{35} = 6(35)-13\]
\[\Large a_{35} = ??\]

Answer 13

197

Answer 14

it's not 95. Try again

Answer 15

yeah it's 197

Answer 16

thank you @jim_thompson5910

Answer 17

you're welcome

Answer 18

can you help me with another problem? @jim_thompson5910

Answer 19

ok