Question

PLEAAAAAASEEEE HELPPPP ASAAPPPP 95 POINTS JUST FOR THIS

use the following arithmetic sequence and the formula an=a1+(n-1)d to answer the questions below 123,116,1099,102,95.
part 1. find the value of each of the following
part 2/ find the explicit formula, show work. part 3.
part 3. use the explicit formula you found from part 2 to find the value of the 100th term in the sequence show your work!

Answer 1

-570

Explanation:

Explicit formula: an=121+(n-1)-7

121=first term

n=the nth term wanted

-7=the difference

Solve it for the 100th term: an=121+(100-1)-7

99(-7)

-693

121+(-693)

-570

Answer 2

see below

Explanation:

123,116,109,102,95.

First find the common difference

d = 116 - 123 = -7

We are subtracting 7 each time

Using the formula

a1 = 123

d=-7

an = 123+ (n-1)(-7)

We need to find the 100th term

Let n = 100

a100 = 123 +(100-1) (-7)

= 123+(99)(-7)

= 123-693

= -570