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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