Find an explicit formula for the arithmetic sequence -11, -3, 5, 13, ...

= 8n - 19

Step-by-step explanation:

The explicit formula for an arithmetic sequence is

= a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 11 and d = - 3 - (- 11) = - 3 + 11 = 8, thus

= - 11 + 8(n - 1) = - 11 + 8n - 8 = 8n - 19

Step-by-step explanation:

Explicit formula is :

Where is the first element i.e. -11

and d is the difference between the elements i.e. 8

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