What is the explicit rule for the sequence? 10.5, 9, 7.5, 6, 4.5, 3, ...

an=12−1.5n

an=12.5−1.5n

an=11−1.5n

an=12+1.5n

9514 1404 393

  an=12−1.5n

Step-by-step explanation:

The first term is 10.5.

The common difference is ...

  9 - 10.5 = -1.5

The n-th term can be described by ...

  an = a1 +d(n -1)

  an = 10.5 -1.5(n -1) = 10.5 -1.5n +1.5 . . . . eliminate parentheses

  an = 12 -1.5n

d

step-by-step explanation:

d

the entire expression should be subtracted from 30. to subtract the quantity, distribute the negative sign, which changes the signs on the terms. so, the –2 changes to positive and gets added to 30 instead of subtracted from it.

hope this ! ^w^