Question

Find the 51st term of the arithmetic sequence 29, 9, -11,...

Answer 1

Answer:

Step-by-step explanation:

arithmetic sequences can be written as

$a_n = a_1 + (n-1)d$

$29 = a_1 + (1-1)d\\29 = a_1\\9 = 29 + (2-1)d\\9 = 29 + d\\d = -20\\a_n = 29 -20 (n-1)\\a_n = 29 - 20n+20\\a_n = -20n + 49\\\\a_51 = -20(51) + 49 = -951$