What Is The Next Number? What Is The 8th Number? 9, 4, -1, -6, -11, ___

What is the next number? What is the 8th number? 9, 4, -1, -6, -11, ___  

Answer:

The next number is -16, and the 8th number is -26.

Step-by-step explanation:

To solve for the next number and 8th number in the given sequence, here is the formula that can be used:

a_{n} = a_{1} + (n-1)d , wherein:

  • a_{n} is the n^{th} term.
  • a_{1} is the first term in the sequence.
  • n is the term position.
  • d is the common difference.

For the first question, here is how the next number (6th number) was computed:

a_{n} = a_{1} + (n-1)d

a_{6} = 9 + (6-1)-5

a_{6} = 9 + (5)-5

a_{6} = 9 + (-25)

a_{6} = -16

For the second question, here is how the 8th number was computed:

a_{n} = a_{1} + (n-1)d

a_{8} = 9 + (8-1)-5

a_{8} = 9 + (7)-5

a_{8} = 9 + (-35)

a_{8} = -26

Therefore,  the next number is -16, and the 8th number is -26.

The formula must be kept in mind in solving missing terms in any arithmetic sequence.

To know more about the topic, here are other helpful links that you can use:

10.3.1.1.1.


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