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26 October, 08:53

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

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Answers (2)
  1. 26 October, 09:04
    0
    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.
  2. 26 October, 09:05
    0
    145

    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
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