Answer:
Step-by-step explanation:
In the arithmetic sequence. 10,19,28,37,46,...
Each time we add 9 to get the next term
then
the common differenc r = 9
the first term = 10
then
term 16 = term 1 + 9×(16 - 1)
= 10 + 9×(15)
= 10 + 135
= 145
Answer: 145
Step-by-step explanation: To determine the 16th term, we can easily continue this pattern by adding 9 to reach the next term.
So, 10 is our first term and we will continue adding 9.
10 ⇒ 1st term
19 ⇒ 2nd term
28 ⇒ 3rd term
37 ⇒ 4th term
46 ⇒ 5th term
55 ⇒ 6th term
64 ⇒ 7th term
73 ⇒ 8th term
82 ⇒ 9th term
91 ⇒ 10th term
100 ⇒ 11th term
109 ⇒ 12th term
118 ⇒ 13th term
127 ⇒ 14th term
136 ⇒ 15th term
145 ⇒ 16th term
Another way to do this problem is to use the explicit formula but since these numbers aren't that big, we can easily continue the pattern.
