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Lostsunrise [7]
2 years ago
8

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?
Mathematics
1 answer:
mr Goodwill [35]2 years ago
6 0

The 15th term of the sequence is 2390

<h3>Recursive and explicit formula</h3>

Given the recursive formula of the sequence given;

a_n=a_{n-1}-200

Given the following parameters

Common difference = -200

a1. = 10

a_{15} =a_{14} -200

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: brainly.com/question/516432

#SPJ1

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Answer:

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Just replace n by 8 ===> C(8) = -6+5(8-1) = - 6 + 5x7 = -6+35 = 29

Step-by-step explanation:

We have been given a sequence formula. We are asked to find the 8th term of our given sequence.

We know that an arithmetic sequence is in form A_n=a_1+(n-1)d, where,

A_n=\text{ nth term of sequence},

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To find the 8th term of our given sequence, we will substitute n=8 in our given formula.

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