Question

Find the 16th term of the arithmetic sequence. 10,19,28,37,46

Answer 1

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.

Answer 2

145

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