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The explicit rule for an arithmetic sequence is an = -4 + (n - 1)7. What is the common difference of the arithmetic sequence? d = What is the first term of the arithmetic sequence?

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an = -4 + (n - 1)(7)
This being in the form of the explicit rule for an arithmetic sequence you can pick out the d and a1.
an = a1 + (n - 1)(d)
d = 7
a1 = -4

The common difference and first term of the sequence with the explicit rule  aₙ = -4 + (n - 1)7 are 7 and -4 respectively

What is arithmetic sequence?

Arithmetic sequence are sequence where each term increases by adding/subtracting some constant b.

Therefore, the formula can be represented as follows;

aₙ = a + (n - 1)d

where

  • a = first term
  • n = number of term
  • d = common difference

The explicit rule for the sequence is aₙ = -4 + (n - 1)7.

where

a = -4

common difference = d = 7

learn more on arithmetic sequence here: brainly.com/question/2253972

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