What is the 101st term in the sequence 852, 846, 840, ...?

1452

1458

246

252

A (101) = 252

Step-by-step explanation:

Utilize the equation A (n) = A1 + (n-1) d

n > the nth term A1 > first term in sequence (852) d > common difference (-6)

Plug in and simplify.

A (n) = 852 + (n-1) (-6) A (n) = 852 - 6n + 6 A (n) = - 6n + 858

Finally, plug in 101 for n.

A (101) = - 6 (101) + 858 A (101) = - 606 + 858 A (101) = 252