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For the following sequence, state the common difference, identify which is the explicit form and which is the recursive form of the rule, and find the term listed.

Sequence: 10,−190,−390,−590,…

Common Difference: -200
an=210−200n - this is explicit

an=an−1−200
a1=10
this is Recursive

a15= what is the term?

Respuesta :

abidemiokin

The 15th term of the sequence is 2390

Recursive and explicit formula

Given the recursive formula of the sequence given;

[tex]a_n=a_{n-1}-200[/tex]

Given the following parameters

Common difference = -200

a1. = 10

[tex]a_{15} =a_{14} -200[/tex]

Determine the 14th term

T14 = 10+(14-1)(-200)

T14 = 10+(-2600)

T14  = 2590

Substitute

a15 = 2590 - 200
a15 = 2390

Hence the 15th term of the sequence is 2390

Learn more on sequence here: https://brainly.com/question/516432

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