Aramaerepubloidn
Answered

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determine the rule of the arithmetic sequence 5, 10, 15, 20, 25?​

Sagot :

MissyArelleeeeeidn

Answer:

✓ The answer is 5n. That is the rule of the arithmetic sequence 5, 10, 20, 25.

Determine the rule of the arithmetic sequence 5, 10, 15, 20, 25?

Formula:

[tex]a_n=a_1+(n-1)d \\ a_n=a_1+(n-1)(5) \\ a_n=5+5n-5 \\ a_n=5n[/tex]

> Substitute the values of the first term and the common difference to get the rule of the sequence. Then simplify.

To check:

✓ For First Term

[tex]a_n=5n \\ a_1=5(1) \\ a_1=5[/tex]

✓ For Second Term

[tex]a_n=5n \\ a_2=5(2) \\ a_1=10[/tex]

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