Answer:
110 is answer.
Step-by-step explanation:
Given that first term is 185
Each term is got by subtracting 15 from the previous term
Hence we have an arithmetic sequence with a = 185 and d = common difference =-15
6th term would be
a_6 = a+(6-1)d = 185+5(-15)
=110
Verify:
185, 170, 155,140,125,110
We get by subtracting 15 the same answer as the 6th term
Answer: (B) 110
Step-by-step explanation:
The formula for an arithmetic sequence is:
[tex]a_n = a_1 + d(n - 1)\qquad \text{where}\ a_1\ \text{is the first term, d is the difference, n is the term}[/tex]
It is given that a₁ = 185, d = -15, and n = 6
a₆ = 185 - 15(6 - 1)
= 185 - 15(5)
= 185 - 75
= 110
Check:
n = 1: 185
n = 2: 185 - 15 = 170
n = 3: 170 - 15 = 155
n = 4: 155 - 15 = 140
n = 5: 140 - 15 = 125
n = 6: 125 - 15 = 110 [tex]\checkmark[/tex]
